{ "cells": [ { "cell_type": "markdown", "id": "3159db63", "metadata": {}, "source": [ "# 3 · Elastic Energy Intuition\n", "\n", "The deformation gradient $F$ says *how* a triangle is deformed; an **elastic energy density** $\\psi(F)$ turns that into one number, *how much* it costs. We write three classics out by hand (linear elasticity, ARAP and Neo-Hookean), push a single triangle through translation, scale, shear, rotation and collapse, and watch each energy respond. A good energy is zero for rigid motions and grows with genuine deformation: linear elasticity fails the rotation test, and Neo-Hookean blows up as the triangle is crushed flat." ] }, { "cell_type": "markdown", "id": "22f69d13", "metadata": {}, "source": [ "Imports, and every tunable parameter of this notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "0b76629f", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.038700Z", "iopub.status.busy": "2026-09-24T03:44:26.038476Z", "iopub.status.idle": "2026-09-24T03:44:26.617302Z", "shell.execute_reply": "2026-09-24T03:44:26.616609Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm, PowerNorm\n", "import simkit\n", "import utils\n", "\n", "NOTEBOOK = \"003_elastic_energy\" # this file's name\n", "RESULTS_DIR = utils.notebook_results_path(NOTEBOOK) # results/003_elastic_energy/\n", "MEDIA_DIR = \"media\" # tracked copies for the website\n", "# material (Lame parameters)\n", "MU = 1.0 # shear modulus\n", "LAM = 1.0 # first Lame parameter (resists area change)\n", "LAM_STIFF = 50.0 # nearly incompressible lambda for the collapse test\n", "# deformation sweeps\n", "MAX_SHIFT = 3.0 # largest translation distance\n", "N_SHIFT = 40 # translation samples\n", "SCALE_MIN = 0.5 # smallest uniform scale factor\n", "SCALE_MAX = 1.8 # largest uniform scale factor\n", "N_SCALE = 50 # scale samples\n", "MAX_SHEAR = 1.6 # largest shear amount k\n", "N_SHEAR = 50 # shear samples\n", "N_ROTATION = 60 # rotation samples over one full turn\n", "COLLAPSE_DECADES = 9.0 # the apex height shrinks to 10^-COLLAPSE_DECADES of its rest value\n", "N_COLLAPSE = 50 # collapse samples\n", "FPS = 20 # animation frame rate\n", "# energy landscape over principal stretches\n", "STRETCH_MIN = 0.02 # smallest principal stretch on the grid\n", "STRETCH_MAX = 2.0 # largest principal stretch on the grid\n", "N_STRETCH = 60 # grid samples per axis\n", "# forces figure: one representative amount of each motion\n", "SHOW_SHIFT = 0.8 # translation distance\n", "SHOW_ANGLE = np.pi / 2 # rotation angle\n", "SHOW_SCALE = 1.4 # uniform scale factor\n", "SHOW_SHEAR = 0.8 # shear amount k\n", "MAX_ARROW = 0.8 # drawn length of the largest force arrow\n", "# validation against simkit\n", "N_RANDOM = 200 # random deformed triangles\n", "NOISE = 0.3 # size of the random vertex perturbation\n", "FD_STEP = 1e-6 # central-difference step\n", "ZERO_EIG_TOL = 1e-4 # Hessian eigenvalues below this fraction of the largest count as zero\n", "SEED = 0 # random seed" ] }, { "cell_type": "markdown", "id": "bba0ba47", "metadata": {}, "source": [ "## The three energies, written out\n", "\n", "Each density is a function of $F$ alone, with Lamé constants $\\mu$ (shear) and $\\lambda$ (area change). The next cell transcribes them, one named term per line.\n", "\n", "* **Linear elasticity**, with the small-strain tensor $\\varepsilon = \\tfrac12(F+F^\\top) - I$: $\\;\\psi = \\mu\\lVert\\varepsilon\\rVert_F^2 + \\tfrac{\\lambda}{2}\\,\\mathrm{tr}(\\varepsilon)^2$.\n", "* **ARAP**, with $R$ the rotation of the polar decomposition $F = RS$: $\\;\\psi = \\tfrac{\\mu}{2}\\lVert F - R\\rVert_F^2$, the distance to the *nearest rotation* (simkit's normalization).\n", "* **Neo-Hookean**, with $I_C = \\lVert F\\rVert_F^2$ and the area ratio $J = \\det F$: $\\;\\psi = \\tfrac{\\mu}{2}(I_C - 2) - \\mu\\ln J + \\tfrac{\\lambda}{2}(\\ln J)^2$. The barrier $-\\mu\\ln J \\to +\\infty$ as $J \\to 0$, so the material cannot be crushed to zero area." ] }, { "cell_type": "code", "execution_count": 2, "id": "9ef27deb", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.619015Z", "iopub.status.busy": "2026-09-24T03:44:26.618832Z", "iopub.status.idle": "2026-09-24T03:44:26.621851Z", "shell.execute_reply": "2026-09-24T03:44:26.621266Z" } }, "outputs": [], "source": [ "def linear_energy(F, mu, lam):\n", " eps = 0.5 * (F + F.T) - np.eye(2) # small-strain tensor\n", " E_shear = mu * np.sum(eps**2) # deviatoric (shape) term\n", " E_volume = 0.5 * lam * np.trace(eps)**2 # volumetric term\n", " E_total = E_shear + E_volume\n", " return E_total\n", "\n", "def arap_energy(F, mu, lam):\n", " R = simkit.polar_svd(F)[0][0] # nearest rotation to F\n", " E_shape = 0.5 * mu * np.sum((F - R)**2) # distance to that rotation\n", " E_total = E_shape # single term: ARAP ignores lam\n", " return E_total\n", "\n", "def neo_hookean_energy(F, mu, lam):\n", " I_C = np.sum(F**2) # first invariant ||F||^2\n", " J = np.linalg.det(F) # area ratio\n", " E_shear = 0.5 * mu * (I_C - 2) # resists shearing / stretching\n", " E_barrier = -mu * np.log(J) # forbids crushing (J -> 0)\n", " E_volume = 0.5 * lam * np.log(J)**2 # resists area change\n", " E_total = E_shear + E_barrier + E_volume\n", " return E_total\n", "\n", "ENERGIES = {\"Linear\": linear_energy, \"ARAP\": arap_energy, \"Neo-Hookean\": neo_hookean_energy}" ] }, { "cell_type": "markdown", "id": "bdbd5ffe", "metadata": {}, "source": [ "The rest shape is a single equilateral triangle with a unit base (vertex ids shown). It has no pins or handles: every deformation below is prescribed, and we evaluate its energy (and, at the end, the forces it produces)." ] }, { "cell_type": "code", "execution_count": 3, "id": "011b0913", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.623213Z", "iopub.status.busy": "2026-09-24T03:44:26.623110Z", "iopub.status.idle": "2026-09-24T03:44:26.690533Z", "shell.execute_reply": "2026-09-24T03:44:26.690139Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([[-0.5, 0.0], [0.5, 0.0], [0.0, np.sqrt(3) / 2]]) # rest vertices\n", "T = np.array([[0, 1, 2]]) # one triangle\n", "\n", "fig, ax = plt.subplots(figsize=(4.5, 4))\n", "utils.plot_mesh(ax, X, T, title=\"rest triangle\", show_vertices=True, lims=((-0.8, 0.8), (-0.25, 1.1)))\n", "for i, p in enumerate(X):\n", " ax.annotate(str(i), p, xytext=(6, 6), textcoords=\"offset points\", fontsize=11)\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"rest_triangle.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_rest_triangle.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bb9c6e41", "metadata": {}, "source": [ "The motions are maps applied to the rest vertices. `sweep_energies` gets each deformed copy's $F$ from `simkit.deformation_gradient` and evaluates every energy density on it." ] }, { "cell_type": "code", "execution_count": 4, "id": "a4cf4c4d", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.691578Z", "iopub.status.busy": "2026-09-24T03:44:26.691499Z", "iopub.status.idle": "2026-09-24T03:44:26.693933Z", "shell.execute_reply": "2026-09-24T03:44:26.693639Z" } }, "outputs": [], "source": [ "def translate(X, t):\n", " return X + np.asarray(t, float)\n", "\n", "def rotate(X, theta):\n", " c, s = np.cos(theta), np.sin(theta)\n", " return X @ np.array([[c, -s], [s, c]]).T\n", "\n", "def scale(X, s):\n", " return X * s\n", "\n", "def shear(X, k):\n", " return X @ np.array([[1.0, k], [0.0, 1.0]]).T\n", "\n", "def sweep_energies(states, mu, lam):\n", " \"\"\"Energy density of every material for each deformed triangle in `states`.\"\"\"\n", " series = {name: np.zeros(len(states)) for name in ENERGIES}\n", " for i, U in enumerate(states):\n", " F = simkit.deformation_gradient(X, T, U)[0]\n", " for name, psi in ENERGIES.items():\n", " series[name][i] = psi(F, mu, lam)\n", " return series" ] }, { "cell_type": "markdown", "id": "c6824456", "metadata": {}, "source": [ "## Translation costs no energy\n", "\n", "Sliding the triangle keeps $F = I$, so every energy stays flat at zero (the three curves coincide, so only the green one shows). The cell draws the static curve, then an animation with the triangle on the left (rest shape ghosted, view fitted to every frame) and the energies traced on the right; the y-axis is fixed so the flat line does not zoom into round-off." ] }, { "cell_type": "code", "execution_count": 5, "id": "4cb246b5", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.696499Z", "iopub.status.busy": "2026-09-24T03:44:26.696271Z", "iopub.status.idle": "2026-09-24T03:44:27.818259Z", "shell.execute_reply": "2026-09-24T03:44:27.817679Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shifts = np.linspace(0, MAX_SHIFT, N_SHIFT)\n", "states = [translate(X, [d, 0.0]) for d in shifts]\n", "series = sweep_energies(states, MU, LAM)\n", "\n", "fig, ax = utils.line_plot(shifts, series, xlabel=\"translation distance\", ylabel=\"elastic energy density ψ\",\n", " title=\"Translation costs no energy\", ylim=(-0.5, 2.0))\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"translation.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_translation.png\"))\n", "plt.show()\n", "\n", "fig, anim = utils.animate_scene_energy(states, shifts, series, rest=X, xlabel=\"translation distance\",\n", " lims=utils.auto_limits(states), scene_title=\"triangle sliding\",\n", " title=\"energy vs translation\", energy_ylim=(-0.5, 2.0), fps=FPS)\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"translation.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"003_translation.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "c6d2cba7", "metadata": {}, "source": [ "## Scale: every energy grows\n", "\n", "Uniform scaling $F = sI$ genuinely deforms the material, so all three energies rise away from $s = 1$. Neo-Hookean is the stiffest in compression ($s < 1$, where its barrier starts to act) and linear elasticity the stiffest in stretch." ] }, { "cell_type": "code", "execution_count": 6, "id": "645c7a6c", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:27.819631Z", "iopub.status.busy": "2026-09-24T03:44:27.819541Z", "iopub.status.idle": "2026-09-24T03:44:29.204275Z", "shell.execute_reply": "2026-09-24T03:44:29.203957Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scales = np.linspace(SCALE_MIN, SCALE_MAX, N_SCALE)\n", "states = [scale(X, s) for s in scales]\n", "series = sweep_energies(states, MU, LAM)\n", "\n", "fig, ax = utils.line_plot(scales, series, xlabel=\"scale factor s\", ylabel=\"elastic energy density ψ\",\n", " title=\"Energy vs uniform scale\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"scale.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_scale.png\"))\n", "plt.show()\n", "\n", "fig, anim = utils.animate_scene_energy(states, scales, series, rest=X, xlabel=\"scale factor s\",\n", " scene_title=\"triangle scaling\", title=\"energy vs scale\", fps=FPS)\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"scale.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"003_scale.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "dfbf64e5", "metadata": {}, "source": [ "## Shear: every energy grows too\n", "\n", "Shear $F = \\begin{pmatrix}1 & k\\\\ 0 & 1\\end{pmatrix}$ changes shape but not area ($J = 1$), so only the shear terms act. Linear elasticity and Neo-Hookean give exactly the same curve, $\\mu k^2/2$ (the green curve hides the red one), and ARAP is about half of it because of its $\\tfrac{\\mu}{2}$ normalization." ] }, { "cell_type": "code", "execution_count": 7, "id": "9e1ddf20", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:29.205584Z", "iopub.status.busy": "2026-09-24T03:44:29.205489Z", "iopub.status.idle": "2026-09-24T03:44:30.729005Z", "shell.execute_reply": "2026-09-24T03:44:30.728095Z" } }, "outputs": [ { "data": { "image/png": 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9VsP17uwy+CEiIqIc8c2SLvB1iVP3i4ZYYUy35dBHDH6IiIjopW3cOAlbnG+q+9ZxwJTXp8He0RX6iMEPERERvZRbV49jgv9v2u3BDu+ifJXG0FcMfoiIiCjbYqMiMHTLZ4i0SdpuFOSDju2/gz5j8ENERETZ9sPiT3DFLVrd9w6zwHddluv9UH39Lh0RERHprS2bZ2C94yV13zIemFz7W7i654e+02nws2/fPjXTsKwMLhPmbdy48bnHb9iwAW+99RY8PT3VBEb16tVTC3ASERFR3uf5fHtvkXa7v/VbqFH3XYO4DDoNfiIiIlC1alW1lEJmgyUJfrZu3arWpGrcuLEKnk6ePAlT9Omnn6qg8eLFi9p9e/fuVfscHR3VMhUyU/HIkSPVrJrpZ2ouVaoUChYsiISEpOnHU3z99dewtLRUryFBZuXKlbFq1ao8qxcRERlGnk9E8mIIDYO80K3TVBgKna7t1axZM3XLrBkzZqTZ/uGHH/Dnn3/if//7H6pXrw5TEhYWhrVr18Ld3R2LFi3C1KlPPnQyvXdwcLC6L4HRG2+8gdKlS6tgKXWQ5Ovrq9b0+uuvv9CyZcs0ry/b0hInQdO6devQsWNHdY7Lli2bh7UkIiJDyPOZ0OU3vc/zSc1wSpoB+WKWIEACAFOzZs0aODg4YNKkSfj111/VelsZKV++PBo2bKhaylKTgEkCnDZt2qj7zyIf5nbt2sHV1RXnz5/P8XoQEZFh2WKgeT5Gs6q7tHbIquPy5fwsMTEx6pZ64bOUwCl9V5BsS3dQyk28N3s/AsJiM10mDTQwQ/YW/PR0ssam/g0zdawELNIaI6utDxo0CJs2bULr1q215U75efbsWdVdKF1fKfukVWj9+vVYvXq16hpr2rQpHj58qBaaS/1c+SldYr///rs6b9L9laauRrgmbsq1T/lspP+MGBPW0TiYwnU0lXoaQh1vXzuRlOeT3N3Vz+otVKvdItNlzs06ZuU1DTb4WblyJcaPH6+6vby8vJ553IQJE9Rx6fn7+yMqKirNPmk9kZMnPy0sLJKOC4uBX+iT4Ck3SeD0rBac1KQr6/Dhw5g1a5bqtnr//fexcOFClf8UHx+vVrR1c3NTQZ+sUt6lSxf06NFD+9rSUiRBT5MmTVRujyScL1myBEOHDlWPyznYsmWLeg15vFixYuo58jPlNTJTTkOU8hkIDAxUK9cHBATA2LGOxsEUrqOp1FNf6xgbE5mU55Pc2VLvUT40+2ioWqVdH+ooPUFGHfxIi4V8mUuLhHyBP4+0eAwZMkS7LS0YhQsXVgFT+iXvJVCQliT50pOb8HKyyVJLzsu2/KS87/MsW7ZMJYrXrJm0Su4nn3yicqckoJNgRXJ+goKCVKvN4sWLMWXKFBUUSTdZyvM7dOgAe3t7tf3xxx9j+fLlGDFihLarq0WLFvjjjz+eGSBkppyGSM6Z1F+6UuUXSUYWGlI/dlZIkCd/gFhHw2YK19FU6qnvdfxmbjtcdY/R5vlM7Loiy91duVlHOzs74w1+ZNSRJO5KACRf0C8iLSNyS09OevoTL9syUirlJv434NVMl026S1ICg5Tn5zR5/d9++00Fafnz50/TPSVBTYMGDdQ+eX8JhHr16qVacaT168cff8SpU6dw4sQJXL9+XeUNCWkhkq6wgwcPquenlD2jOqTu6sqtOupSyrVP+Wxk9DkxNqyjcTCF62gq9dTHOm5ReT6X0+T5uHsU1Ks6ZuX1dBr8yBf4tWvXtNs3b95UX87yr+4iRYqoVpt79+6pVomUrq6uXbti5syZqFu3rspTSYn2pLXDFEhuj7ReyXmSJOQUP//8s2rlqV+//lPPGTNmDF599VV88cUXKldIRm3JdAGpSeuPPJYSPBEREaWZz8fW8ObzeRadhpbHjh1TX8Qpw9Sle0rujx07Vm0/ePBADcdOMX/+fNV9069fP9XqkXIbOHAgTIUEKNJlVa5cOfj4+Ghvn3/+Oe7fv59hEnKtWrXw2muvqSBoxYoV6nylfq7cJGlahs5npc+UiIiMW6yBz+fzLGYaYxyy8xzSaiKtRJIUnFHOj7Q+FS9eHLa2yVc6C/Ki20vXjL2OKZ8BmRxSPiMyAk7fmp9zivS9S6Ii62jYTOE6mko99bGOY2a3xkanq9o8n3Ud/3qpYe25Wcfnfb+npx9nl4iIiPTKhg0TtIGPVTwwpc53Bjefz7Mw+CEiIqI0Lp/bhwmPV2q3B9m1QPU6aVcCMGQMfoiIiEgrPPQxBu8ehGjrpO0mwQXx8Uc/wJgw+CEiIiJtTs5XSzrijkvSRLZFQ6zwbbcVepODlFOMqzZERESUbctXjcAe1/vqvm0sMO2NmXB0zmd0Z5TBDxEREeHEkf9hZvRf2jPxlUcnlK2U+Yl+DQmDHyIiIhMX6O+LYUdHIz556uNWYWXwwQdJSx4ZIwY/REREJiwhIR7DVnwMf6ekVdHLBNlhTPeklRWMFYMf0guvv/46ZsyYoetiEBGZnDlL++E/9yB13ykK+PHd+bC2S1oI21gx+DHQQMHCwgJnzpzR7pOFSWXG5Vu3buX4++3duzfNOmIpvv76a7Rq1SrH34+IiPLGvt3LsdD8gLpvptFgfPF+KFKymtGffgY/BsrNzU0t/EpERJQd930vYtTlqdCYJy1V1DmmJt5q+plJnEwGPwaqb9++OHDgAPbt25fh46tXr0aVKlVUi03t2rVx8OBB7WOyeGmvXr20C8N+9tlniIiIeOkyXbt2DU2bNoW7uztKliz5VDfWb7/9hvLly6syNWzYECdOnMjwdcLDw9XrdOrUSa0j5u/vr+5LWQsUKKAWYY2JidEe+/7778PLy0ut6SILuJ4+fTpN69S7776L/v37q/ctUqQI1qxZ89J1JSIy9AVLB234BMH2Sct7VgtyxuBPF8BUMPgxUBJgfPnllxgx4uls/K1bt+KLL77A0qVLERgYqFqIJAB4/PixelxWdZdA5dy5czh79iwuXbqEwYMHv1R54uPj0bJlS1StWlWtLv/HH39g8uTJWLkyaXp0CdL69OmDX375BQEBAWjbti3eeecdtQBdavJY48aNUbFiRRUsWVpa4r333lMrz1+/fl2VV4Kb7777TjshV8eOHdVipLJYXvXq1dGuXbs0q9tv375dBUVSf3lejx49uHo9EZm0bxd1wUW3SHU/X4Q5prX/FZZWyVM6mwCu6v6CVd3bb26PR1GPMn9G5Ts3m4ude9h5YE3LNZnK+ZFcm969e6NUqVKYM2eO2iddYVL+fv364e2331ZBTooGDRqoFh5pQbGzs1PBSN26ddVj0ir0xhtvIDIyMsNZPCXnRwISaVlJf74kgNm4caNqhWrevLkKXqytk36BfvjhB/XcHTt2oGfPniqQmTt3rvb5ZcuWxbhx41TwIuWXlqpt27ap4GT48OHqmKNHj6r3kNdNKdvOnTtVXSQYSk9yn+Q83L17FwULFlQtP/Kahw8fVo9LUCTXVupcs2bNp57PVd2Niz6ukp3TTKGOplLPvKrj7+u+wzcRSd81lvHAggrfoFa9D5AX9GVV9+QR/fQsEvj4R/rr5QmSIEaCh6+++gr//vuvdr8kPcs+eSyFdB/du3dPBRGxsbEoVqyY9rESJUqobqRHjx6pwEKCKlG0aFGcP39e3ZcPlAQWEjzIa1lZWWH8+PE4deqUelyCDemSSgl8Ul5XWm9SHpcAJzUJMmV/irVr16quKWkhSl0XeV9p6UohZUhISFD3o6KiMHToUNXaJa1cKb9MUhcJfoS0GqWQpHA5b9L1R0Rkas6d3IlJwWsAq6TtgbbN8izw0ScMfjLRGpMlL9nyk1Xdu3fH9OnTsWzZMu2+woULY8CAAap1JKOoWwIUCSok8hZy38bGBh4eHqplSG5ZVahQIdXdlRIYpbyu7E95PP1ItNSPC2ntkW4tyfeR1hqJ3KUuks/z4MGDDN932rRpOH78OPbv369eK6XlJ3W3FxERAUGP7mHIgWGIcUo6G2+HFEaX/hNN8tQw+HmBzHRDpUjdKiItDHlBhrx///332tYaId1ekhQsic41atRQrSPSzVOuXDkVIEg306hRo1RLi5RZWok6d+78Uk2QderUUcHU2LFjVVfT1atXMWvWLJX3Iz7++GOVdyQ/pbtNur8kB0e6ylLI+y9atEglY0u3neTqSB0kABo9erTKcXJ0dISvry8uXLiAZs2aqWZO6caSgEeSn6UuRESUwUSGv3bEA/ekVvOSwTb4tvtKo+1CfBHTrLWRadOmjcr9SSFBxsSJE1WejQQF0r00c+ZM1eoj5L50e1WoUEElFstzpfXoZUjAt3nzZtUKI91MkqQ8ZMgQFWiJRo0aqWBIWqry5cunRqP99ddfT80fJL+ICxYsQLVq1dCkSRMV3MjrSpedjBST7rcWLVqohG0h7yEBoARelSpVQr169V6qHkRExmjWks9wxD1Q3XeMBmY0/wX2jk/P32YqmPD8goTnrNBFy09eM/Y6MuHZuDBJ1njwWmbfrh0LMPj+TGjMzNREhtPy99fZfD76kvDMlh8iIiIjdevqcYy++ZMKfMQncXVMZiLD52HwQ0REZISiIkMxeGtvhCd3ZNQJdMPAT+frulh6gcEPERGRERq7sAOuuSbNhu8TZoGpnVfBwoLjnASDHyIiIiOzfOUIbHPxVfet44Dp9SfBzSNp7jNi8JMhzhFjunjticjQHdm/FtOjt2i3R7i2Q+UaTXVaJn3Dlp9UZMi0kBmQyTTJEh8iZaJGIiJDcv/2BQw78x0Skr7O0CqsDD5sO0bXxdI77PxLfTIsLWFvb6+WgJAvv6wOw0sZBi5LLxjjMHBjrqPUSwIfWUFe5h5KCYSJiAxFdFQ4Bv7xCYLckma4rxTkiDF9ftV1sfQSg59U5Ms8f/78aq6f27dvZ+sLVOYwkKDJmAIDU6qjBD4ySSO7v4jI0Ixb0AGX3KLUfY9wc8xs9yusbex1XSy9xOAnHVn3qnTp0tnq+pKgQBbUlDWyjHXKcGOuo7T2pbT4MPghIkOybMUIbHVJWj/RKh6YVus7eBV4MvM/pcXgJwPypZ6dGZ4lMJAvUHmusQUGplRHIiJDS3D+MWYLkNxb/6VzG9So+66ui6XX+O1FRERkRAnO7T/8WtfF0nsMfoiIiAw5wdkhVYJzTyY4ZwaDHyIiIgPEBOfsY/BDRERkYJjg/HIY/BARERmQw/8mJzgnY4Jz1jH4ISIiMhD3bp/HsHNPEpw/CGeCc3Yw+CEiIjIAkeHB6L/xEwTbJyU4Vw5yxOgeTHDODgY/REREBjDH2ohF7XDNNVpte4WZY+ZHKzmDczYx+CEiItJzPy/tiz2uD9R9m1hgRv3J8PQprutiGSydBj/79u3Du+++iwIFCqh1ojZu3PjC5+zduxc1atSAjY0NSpUqhaVLl+ZJWYmIiHRh29bZmG++X7s9zvsTVK7RlBfDUIOfiIgIVK1aFXPmzMnU8bLgaIsWLdC4cWOcOnUKgwYNQo8ePbB9+/ZcLysREVFeu3R2L8bd/QWa5IWkP4mphXffG8oLYchrezVr1kzdMmvevHkoXrw4pk2bprbLly+P/fv348cff0TTpoyCiYjIeAQF3MHn/wxCpFPSdsMgLwwasEDXxTIKBpXzc+jQITRp0iTNPgl6ZD8REZGxiIuNxsDfPsIDpwS1XTzYGlM+XQsLC65HnhMM6iw+fPgQ3t7eafbJdmhoKKKiomBnZ/fUc2JiYtQthRybkjkvt5yU8no5/br6xBTqaCr1ZB2NgylcR1OpZ+o6fr/gY5x0T/q+co4yw0/N5sPe0c3g65+Yi9cxK69pUMFPdkyYMAHjx49/ar+/v78KmHJDQEAAjJ0p1NFU6sk6GgdTuI6mUs+lv47AesfL6r5FggajC/aFjVMB+Pn5wVgE5MJ1DAsLM87gx8fH56mLL9vOzs4ZtvqIkSNHYsiQIWlafgoXLgwvLy/1vJyOOuWCenp6wtzcoHoUM80U6mgq9WQdjYMpXEdTqafUcff2pZiTuF2blDLIpjmatugNY5GYi9fxWXGAwQc/9erVw9atW9Ps27lzp9r/LDIkXm7pyUnPrV+g3HxtfWEKdTSVerKOxsEUrqOx1/POzTP4xvcnxNsnbb8XWgqfDJgMY2SeC9cxK6+n009QeHi4GrIut5Sh7HLf19dX22rTpUsX7fGfffYZbty4geHDh+PSpUv4+eefsXbtWgwePFhndSAiInpZ4SEBGLC5O0KSl66oEuSEcb1W8MTmEp0GP8eOHUP16tXVTUj3lNwfO3as2n7w4IE2EBIyzH3Lli2qtUfmB5Ih7wsXLuQwdyIiMlgJCfEYsuRD3HSNVdveYRaY8dEKLl2Ri3Ta7fX6669Do0mKcjOS0ezN8pyTJ0/mcsmIiIjyxqT5XXDI7bG6bxcD/PTqj1y6IpcZZ8cpERGRAVi1ZhxW2Z9V980SNRjp/gnKVW6k62IZvSy3/EjXk6zDlTrBSLK227Rpg6FDh6Z5jIiIiDJ2cN8qTIrYAFgkbQ+weAuvNOjI06WPwc/AgQPTBDgJCQm4evUqvv76a8THx2PEiBE5XUYiIiKjcvPqMQy7MAEJyaOzW4aWQLc+U0xiHiODDH5kMdGMNG/eHL169WLwQ0RE9BwhQX7o/1cvhLok5bxWC3LG+D6rjHYIv1EEP61bt85wf1xcnJo1WVZdT5lXZ8OGDS9fQiIiIiMRHxeLQcvawtctTm0XDLXET51Wq5Fdhr50hVEHPzIrckZ5PbGxsdrHbW1tc6Z0RERERuTb+R1xzC1Y3XeMBma/OQdunoV1XSyTk+XgJ6Ph52L16tXYu3cvVq1alRPlIiIiMirLVozABu2aXcCk0sNQqkJ9XRfLJGU5+Em9TpaQZrpbt26pZSdmzpyZk2UjIiIyCv/sWoIfY7ZoR3YNtWuJ1954soIB6Xnwk36CQQsLCxQpUgR//PGHyvchIiKiJy6f24cvr01HQnJGSJvwcujcbwJPkSEFP3v27MmdkhARERkZ/wc30G/v54hwStquHeiG0f25ZpeucVwdERFRLogMD0a/NR/BzylBbRcPtsFPn66HpZU1z7eOMfghIiLKhcVKhy1si0tuUWrbPcIcc1stg6OLJ8+1HmDwQ0RElMMmL/gE+9z81H2bWOCnOhNRsGhFnmc9weCHiIgoB61YPQor7U5rFyv9rmAvVK3VjOfYkIOfcePG4fbt27lTGiIiIgO2d9diTIncpN3+3OJtvNN8gE7LRDkQ/Pz5558oWbIk3nzzTaxcuRIxMTFZfQkiIiKjc+nsXnx5/UckJM/l0yqsDHp0ma7rYlFOBD+nTp3C0aNHUbFiRbXCu4+PD/r06aP2ERERmSK/e1fQ75+BiExa2hJ1A90xrjdXPDCqnJ/q1avjp59+wv3797Fo0SLcvXsXDRo0QJUqVdQszyEhITlfUiIiIj0d0t7394/h75S0MGmJYBvM+HQdh7Qba8KzRqNRq7nLoqZy383NDbNnz0bhwoWxZs2anCslERGRng5pH7qwDa6kGtL+M4e0G2fwc/z4cfTv3x/58+fH4MGDVUvQxYsX8c8//+Dq1av4/vvv8fnnn+d8aYmIiPTId/M6Yr+bv7pvGwvMqjuJQ9qNMfipXLkyXnnlFdy8eVN1ed25cwcTJ05EqVKltMd06NABAQEBOV1WIiIivTF/2SCsc7yo7psnavB9oT6oUvMdXReLcmNtr3bt2uHTTz9FwYIFn3mMh4eHWu2diIjIGG36cypma/4GzMzU9lCblni7WV9dF4tyq+UnJbcnvaioKHzzzTdZfTkiIiKDcvjftfj60TJokgOfTlFV0aXjRF0Xi3Iz+Bk/fjzCw8Of2h8ZGakeIyIiMlZXzu/HkPPfIi653+TN4IIY3mu5rotFedHyY5Yc7aZ2+vRpuLu7Z/XliIiIDIL//Wvou6c/wuyStqsGOWFyr/UwN+dKUUab8yNdXRL0yK1MmTJpAqCEhATVGvTZZ5/lVjmJiIh0Jjz0Mfqs7QA/twS1XTTEGrO7rIe1nQOvijEHPzNmzFCtPpLsLN1bLi4u2sesra1RrFgx1KtXL7fKSUREpBNxsdEYtKg1rrhHa+fymffeUri65+cVMfbgp2vXrupn8eLFUb9+fVhZWeVmuYiIiHRORi6P/aU9jrgHqm37GGBOvakoVKyyrotGuR38hIaGwtnZWd2XCQ1lZJfcMpJyHBERkaGbs6QPNjvfUPctEoBJJQejUvW3dF0syovgR/J9Hjx4AC8vL7i6umaY8JySCC35P0RERIbu93XfYr7lQe32SKc2eP3NT3VaJsrD4Gf37t3akVx79uzJobcmIiLST39vn4/vQ9cCFknb3ePqov2HX+u6WJSXwU+jRo0yvE9ERGRsjh/eiBG+s5BgnbTdMrQ4Pu83X9fFohyU5ckJtm3bhv3792u358yZg2rVqqFjx44ICgrKybIRERHlqWsXDuLzU2MRkxz4NAjyxLefreNcPqYe/AwbNkwlQIuzZ89iyJAhaN68uVroVO4TEREZood3L+Oz3X0RaqdR25WCHPBjr42wtEqOhMh0FzaVIKdChQrq/vr16/Huu+/ihx9+wIkTJ1QQREREZGhCgvzQa30n+Lk+mcTw54/Xw86eI5iNUZZbfmRCQ1nHS/z99994++231X1JiE5pESIiIjIU0VHh6LvsA9x0jVHbHuHmmP/+r3DzKKjropG+tPw0bNhQdW81aNAA//33H9asWaP2X7lyBYUKFcqNMhIREeWKhIR4DP2lFc64haltpyhgXqNZKFA0qYeDjFOWW35mz54NS0tLrFu3DnPnzkXBgkmR8V9//YV33nknN8pIRESUK7M3fz23Pfa5+alt6zhgRuVxKFvpNZ5tI5fllp8iRYpg8+bNT+3/8ccfc6pMREREuW72kj7Y6HRF3TdP1OD7Ap+hToO2PPMmIMstPynRsnRzyZD3ffv2pblllQyVl0VRbW1tUbduXdWV9qIFVsuWLQs7OzsULlwYgwcPRnR00mJzREREmbFyzVgsSDV785f2rfFO8/48eSYiyy0/hw8fVnP63L59Wy1pkVpWl7eQfCHJH5o3b54KfCSwadq0KS5fvqyW0khv5cqVGDFiBBYvXqwWV5UA7JNPPlHvO3369KxWhYiITNDm//2IiZEbAPOkpZp6xtdHx/bf6LpYpM8tP5999hlq1aqFc+fOITAwUE1smHKT7ayQgKVnz57o1q2bGj4vQZC9vb0KbjJy8OBBlWgtwZe0FslIsw4dOrywtYiIiEjs270cY/0XQ5Mc+HwQXgb9u83lyTExWW75uXr1qkp2LlWq1Eu9cWxsLI4fP46RI0dq95mbm6NJkyY4dOhQhs+R1p7ffvtNBTt16tTBjRs3sHXrVnTu3PmZ7xMTE6NuKVKG40vXndxyUsrr5fTr6hNTqKOp1JN1NA6mcB1zqp4nj/4PX1yfgrjkOQvfCC6AMX1XvfTr5hRTuJaJuVjHrLxmloMf6Z66du3aSwc/jx49Ul1k3t7eafbL9qVLlzJ8jrT4yPNkuL10ucXHx6uWqK+++uqZ7zNhwgSMHz/+qf3+/v6IiopCbggICICxM4U6mko9WUfjYArX8WXqeevqEQy9MAZRdknbtR65YmjbeXj06DH0jSlcy4BcqGNYWNJ0BbkS/AwYMABDhw7Fw4cPUblyZVhZWaV5vEqVKsgte/fuVbNJ//zzz9ogbODAgfj2228xZsyYDJ8jLUupl92Qlh9JlJacImdn5xyPOuWCenp6Gu06MKZQR1OpJ+toHEzhOr5sPe/cOIWvzo5DmGPSdsUgB8zq9SfsHVyhT0zhWibmYh1lIFSuBT9t2rRRPz/99FPtPkk4lpaYrCQ8e3h4wMLCAn5+SfMrpJBtHx+fDJ8jAY50cfXo0UNtS/AVERGBXr16YdSoURmeSBsbG3VLT47NrQ9Xbr62vjCFOppKPVlH42AK1zE79fR/cAO9/+qOR85JXSIlgm0wr8sfcHRyh74yhWtpngt1zMrrZWttr5wgy2TUrFkTu3btQqtWrbQRoWz375/xcENZViN95SSAEulHnhERkWkLDfJH77Xtcc81Xm0XCLXAgg9Xw9U9v66LRjqW5eCnaNGiOfbm0h3VtWtXNXpMEphlqLu05MjoL9GlSxc1g7Tk7QhZRFVGiFWvXl3b7SWtQbI/JQgiIiKKigxFn2WtcM0taR449whz/PLOIngVeLl8VTLR4Ef8+uuvali6tALJyCwJiCRwKV68ON5///1Mv0779u1V39/YsWNVDlG1atWwbds2bRK0r69vmpae0aNHq641+Xnv3j3VZyiBz/fff5+dahARkRGKi43GwPnvadfrcowG5jWcgWKla+q6aKQnstzhJut5SYtN8+bNERwcrM3xcXV1VQFQVkkXl0yYKMPRjxw5olp0Uic4L126VLsta4qNGzdOtfjISC0JjmSGaHlvIiIiWah0xLzWOOSWNIrLJhaYVeUblK/SmCeHsh/8zJo1CwsWLFAJxqm7mqTr6uzZs1l9OSIiohxdqHSHyx21bRkPTCk+CLXqfcAzTC8X/EhXl+TcpCcjqiRfh4iISBcmz++iXajULFGDrz26onGT7rwY9PLBj+T1nDp16qn9kqtTvnz5rL4cERHRS/tpUW+ssDut3R5p3wbvv/8FzyzlTMKz5Pv069dPraQuw8tlqYlVq1apEVkLFy7M6ssRERG9lIXLh6RZoX2Q+dvo0P7pmf2Jsh38yASDMouijLiSeXdkyYkCBQpg5syZ+Oijj7L6ckRERNm2cs1YzNTs1G73iq+P7t2n8YxSzg9179Spk7pJ8BMeHq6WiiAiIspLGzdOwsTIDUDyCu0fR1fDgN6/8CJQ7gQ/Kezt7dWNiIgoL23bOhtfB/4GjUVS4PNBeBkM67OMF4FyLviR0V0yuWBmnDhxInPvTERElA37di/DVw9+QULyN9g7IUXwdf/fjX49LMrj4Cdl7S0hic6yqnqFChVQr149te/w4cM4f/48+vbtm4NFIyIiSuu/A+sw5PpUxFknbTcK8sGEfn8w8KGcD35kVuXUCc+ff/45vv3226eOuXMnaWIpIiKinHb53G6MuDERMbZJ23UD3TG975+wtEqOhIgyKctthL///rtacDS9jz/+GOvXr8/qyxEREb3Q2ZM7MPLGREQkBz5Vg5wwq/f/YG3DvFPKg+BHhrkfOHDgqf2yz9Y2+VNJRESUQy6e2YO+R4cjPPkrpnyQPeZ9+j/Y2TvzHBuYE75BmL3/rpon0KBGew0aNAh9+vRRic116tRR+2RB0sWLF2PMmDG5UUYiIjJRV87vR68DAxFqn/RlWSbIDgu6boKjcz5dF42yaN3xu/hqwxnEJmhQzPsWer5WEgYT/IwYMQIlSpRQkxr+9ttvap8sa7FkyRK0a9cuN8pIREQm6PrlI+j5Tz8EOyQFPiWDrLGg03q4uHnrumiUBQmJGkzedgm/7Luh3bf3SgC6NywB8+Q5mgxinh8JchjoEBFRbrl19Th6/N0LgY6Jart4sDUmvvULXPMV5Ek3IGHRcRi4+hR2X/LX7vugsgcmtqups8DnpSc5JCIiyml3bp5Gj+3d8cgpKfApEmKFBW3XINHcgSfbgPg+jkT3ZUdx1T9cbVuYm2Fsy/J4u7gtrCx0OycTZ4QiIiK9cf/2BXTf0hV+Tglqu2CoJRa3WQ3P/CV0XTTKgkPXH+P9Ofu1gY+LnRWWf1oHnV8pCn3Alh8iItILfveuoPumTnjgnBT45A+zwOL3VsC7YBkkJia1ApH+W3nEF2P/PIf4xKRcrRKeDljUtTaKezjozXVk8ENERDrn/+AGPl3/Ee66xKtt7zALLGqxDAWKVtB10SiT4hMS8d2Wi1h68JZ232tlPDGrQ3XV8qNPstzttWfPntwpCRERmaSAhzfx6e8fwtclTm17hJtjYdNFKFy8qq6LRpkUEhmHbkuPpgl8ujcsjsVda+ld4JOt4Oedd95ByZIl8d1333E5CyIieukWn25r2+K2S6zado8ww8I35qFY6Zo8swbiil8Y3puzH/9efaS2rSzMMKlNZYxpWQGWOk5sfpYsl+revXvo378/1q1bp+b7adq0KdauXYvY2KQPLhERUaa7un7/ME3gs+j1eShZPmnRbNJ/288/xAdzDuD240i17e5gjRU9XkH72kWgz7Ic/Hh4eGDw4ME4deqUmtm5TJkyajX3AgUKqAVPT58+nTslJSIio+F//xo+/T11i4+5CnxKVaiv66JRJiQmajB95xX0/vU4ImKTEtQrFnDGpv4NUKe4O/TdS7VH1ahRAyNHjlQtQeHh4WqJi5o1a+LVV1/F+fPnc66URERkVIFPt3XtcDs5xycp8JnLwMeAJi7s9etx/LTrqnbfe1ULYN1n9VHIzTAWms1W8BMXF6e6vZo3b46iRYti+/btmD17Nvz8/HDt2jW178MPP8z50hIRkVEEPr6pAp/FjdniYyhuBITjg58P4u+LfmpbJmke2awcZn5UDXbWFjAUWR7qPmDAAKxatUqtyNq5c2dMnjwZlSpV0j7u4OCAqVOnqm4wIiKi1PP4dFv/Ee4kBz75pMWnMXN8DMWeS/74fPVJhEUnTUfgbGuJWR1roFEZTxiaLAc/Fy5cwKxZs9C6dWvY2Ng8My+IQ+KJiOi5gc+b81GybF2eJD2n0Wgw95/rmLL9MjRJ8xaijLcj5neuhWIehrnkSJaDn127dr34RS0t0ahRo+yWiYiIjDjwUfP4NGHgYwgiYuIxfN0ZbDn7QLuvaUVvTGtXDY42hjtPcpZLvmnTpgz3m5mZwdbWFqVKlULx4sVzomxERGTg7vteRPeNnXA3VeCz6K0FKFGmjq6LRi9wPSBcjea6lrw+lxjcpAwGvFFKpyuy6yT4adWqlQp0pBkstZR98rNhw4bYuHEj3NzccrKsRERkYKuzyyKlD1yShkIz8DGs+XuGrj2N8Jik/B4nG0tMb18Nb1XwhjHI8mivnTt3onbt2upnSEiIusn9unXrYvPmzdi3bx8eP36ML774IndKTEREeu/m1WP4ZEsXPEhend0rzByL317EFh89l5CoweRtl1SLT0rgI/k9f/ZvYDSBT7ZafgYOHIj58+ejfv0nE1G9+eabqsurV69ean6fGTNm4NNPP83pshIRkQG4duEgeuztg8dOidrV2WWRUq7Vpd8CI2IxcPVJ7TIVomWV/JjUpgocDDi/JyNZrs3169fh7Oz81H7Zd+PGDXW/dOnSePToyckjIiLTcPHMHvQ6MBDBDkmpEYVCrLCo1QoUKFJe10Wj5zh7NwSf/XYc94Kj1LaFuZmav0cWJ5V0FmOT5W4vmcF52LBhCAgI0O6T+8OHD1fdYeLq1asoXLhwzpaUiIj02pnj29Dj4EAE2ycFPsWCrbGs7VoGPnpu7dE7aDPvoDbw8XCU9bnqoserJYwy8MlWy8/ChQtV0nOhQoW0Ac6dO3fUIqd//vmn2palLkaPHp3zpSUiIr10/PCf6H96NMLtkrZLBdtgwUfr4OFdTNdFo2eIiU/A+P9dwMojvtp91Yu4Ym6nmvBxsTXq85bl4KdcuXJqosMdO3bgypUral/ZsmXx1ltvwdw8qSFJgiMiIjINR/avxecXvkVk8vdl2SA7LPj4D7h5FNR10egZ7gRGou+KEzh7L0S7r/MrRTGmZQVYW77Usp/GF/zIml52dnZqRfd33nlH3YiIyHT9u+dXDL42GTHJE/5XDHLA/K6b4Ozmpeui0TP8fcEPQ9aeQmjyMhU2lub4/oPKaFuzkMmcsywFP1ZWVihSpAgSEpKGLhIRkenatWMBhvv+hFjrpO1qQc6Y++kmODrn03XRKAPxCYmYtvMK5u69rt1XLJ89fu5UExUKPD2QyZhluW1r1KhR+OqrrxAYGJgjBZgzZw6KFSumhsrLXEH//fffc48PDg5Gv379kD9/frW2WJkyZbB169YcKQsREWXOn39OxdC7PyHWKmm7VpAr5vf6i4GPnvIPjUanhUfSBD7NKvlg04CGJhf4ZCvnZ/bs2bh27Zpatb1o0aJqFffUTpw4kenXWrNmDYYMGYJ58+apwEfmB2ratCkuX74ML6+nm0xjY2NVbpE8tm7dOhQsWBC3b9+Gq6trVqtBRETZtGrNOEyIXA+NRdJIoAZBnpjRexNs7Rx5TvXQoeuPMWDVSTwKj1HbljKMvXl5fNqgmNGO5sqV5S1yyvTp09GzZ09069ZNbUsQtGXLFixevBgjRox46njZLy1OBw8eVF1wQlqNiIgobyxYPhg/af4Gktd2eiu4ECb1/QNW1sY9OsgQJSZqMG/fdUzdfhmJyStS+TjbYk6n6qhZ1B2mLMvBz7hx43LkjaUV5/jx4xg5cqR2n4wWa9KkCQ4dOvTMRVXr1aunur1kWL2npyc6duyIL7/8EhYWFhk+JyYmRt1ShIaGqp+JiYnqlpNSXi+nX1efmEIdTaWerKNxyKvrKK//05LeWGL9JDXh/bDSGNd3NSwsLPPk/VP/NEY5WcfgyFh8se4Mdl96Midfw1L58GO7qsjnaKOz85ib1zErr5mt+aol70a6nWS2Z5nw0N3dXXV3eXt7q66ozJAZoCVxWp6TmmxfunQpw+fIDNK7d+9Gp06dVJ6PdL/17dtXjUJ7VlA2YcIEjB8//qn9/v7+iIpKmtApp6WeANJYmUIdTaWerKNxyM3rKF8q89YNwEbXq9p97UIr4NPW0/Ho0WPkJX5eX+zM/XCM/esm/MLj1La00X1a1wfd6uRHfEQw/CKgc7lxHcPCwnIv+Dlz5oxqnXFxccGtW7dUt5UEPxs2bICvry+WL1+O3PwFlHwfWVtMWnpktul79+5hypQpzwx+pGVJ8opSt/zI5IzyOhkt0/Gy5ZMLKi1SKXMeGRtTqKOp1JN1NA65fR3j42Ix+pe2+Mv1tnbfZwmvok+/2chL/Lxm5hxpsGD/TUzdcVUtUCrc7K1Ua89rZTyhDxJz8fMqU/HkWvAjgcQnn3yCyZMnw8nJSbu/efPmqgsqszw8PFQA4+fnl2a/bPv4+GT4HBnhJbk+qbu4ypcvj4cPH6puNGvr5PGWqciIMLmlJyc9t77UcvO19YUp1NFU6sk6GofcuI6xMZEYMvc9/OOW9HfaTKPBUKuW6Np1InSFn9eMPQ6PwdDfT2Pv5SctKrWLueGnDtWR3yXzQYEhX8esvF6W3/no0aPo3bv3U/ulu0uCkMySQEVabnbt2pUmIpRtyevJSIMGDVRXV+p+PZllWoKijAIfIiLKnsjwYHz28zvawMciARjr1AFdO+ku8KGMHbnxGM1/+lcb+MgArv6NS2FVz1f0MvDRB1kOfqQVJSVpODUJQqQZK6utSAsWLMCyZctw8eJF9OnTBxEREdrRX126dEmTEC2Py2ivgQMHqveTkWE//PCDSoAmIqKcEfToHrovfAdH3YPUtlU8MNGnF9q2GcVTrEeka2vWrqvosOAw/EJjtIuSLv+0Dr5oWhaWFsbdav0ystzt9d577+Gbb77B2rVr1bbMESC5PjLiqk2bNll6rfbt26u+v7Fjx6pWo2rVqmHbtm3aJGh53dTNWJKrs337dgwePBhVqlRRrU0SCMl7ExHRy7vvexG9//gYt9xi1bZtLDCt5DC89kYXnl494h8WjcFrTuHAtScJ5/VL5sOM9tXg5cxpB3I8+Jk2bRratm2rEoZltFSjRo1U4CJdVd9//31WXw79+/dXt4zs3bv3qX3yPocPH87y+xAR0fNdv3gIvXf1gZ9r0hJGzlFm+KnaN6j5Cher1if7rz7CoDWntJMWypRLA98sg/5vlIJF8vxLlMPBj4zy2rlzJ/bv369GfoWHh6NGjRpqBBgRERmmk/9txoDjXyHEKWmUkGe4OeY2mo2ylV7VddEoWWy8rM11GfP33YAmedJCLycbzPyoOuqV5HpqWZGteX5Ew4YN1Y2IiAzbvt3L8MX1qYiyT9ouGmKFX97/FQWLVtR10SjZrUcR+Hz1SZy5G6I9JzJ8fXq7qvBwfHpEM+VC8CMjsuQmEwWmn1FRlqAgIiLDWaD060fLEJ88YLZ8kD1+6bQObp6FdV00SrbhxF2M2XgOEbFJ3ZFWFmYY1rQsejQsAXN2c+VN8COzJUvCc61atdQQc1NdFI2IyNAtXTEc0+O2QmOZ9He8TqAbfurxJxyc3HRdNJIZi6PjVNCz8dR97fko7uGAnz6qjsqFXHiO8jL4kcVHly5dis6dO7/M+xIRkY5Ii/2MRT2wxPpo0qQwyQuUTuy7HtY2yX1fpFMnfYMwcPUp+AZGave1rVkI49+rCAebbGesULIsn0GZSbl+/fpZfRoREekBWa7i61/a40+na9p97SIqYtSAlUY/m7khSNRoMPef6/hx51XEJy9R4WRjie9bV8Z7VQvounhGI8uf9B49emDlypW5UxoiIsrVWZv7z3knTeAj63SN6buagY8eeBAShc83XMOU7Ve0gU/1Iq7YOvBVBj66bvmJjo5WC4v+/fffaqJBWWsrtenTp+dk+YiIKAc88ruFvqva46JbpHa5ii8dWqND+/E8v3pg85n7+GrDWYRGx6tt6Y3s93opDGxSGlacqTnHZWtVd5mJWZw7dy7NY0x+JiLSPzevHkOfbT1xzy1eO2vzhCID0KRpL10XzeSFRsfh6z/PY8PJe9pz4eNsgx/bc+4evQp+9uzZkzslISKiHHfiyP8w8MQoBDsndaO4Rprhp5o/oHqdljzbOvbfzUC1RMW94CjtvjdLu2LqR7Xg5sC5e3JTtlPGZXX169ev47XXXoOdnR00Gg1bfoiI9MjO7fMw0ncOYpIHcBUKtcTcdxaiWOmaui4aTH2m5pm7rmDu3utITu1RSc3j36uAV/JbwMUubToJ6UHw8/jxY7Rr1061AEk319WrV1GiRAl0794dbm5uau0vIiLSrRWrR2Fy1J9ItDbTTl44r+PvcPcqwkujQ9f8w1Vrz9l7T2ZqrlPMHdPaVUVBV1v4+fnx+ujjaC9ZUV2SnGXFdXt7+zQrtMuK7EREpNs5fKbO74aJMZuQmDz7b4MgTyzrtZOBjw5J78ivh2+j5ax/tYGPpbkZhr9TFqt6vYLC7pxfSa9bfnbs2IHt27ejUKFCafaXLl0at2/fzsmyERFRFsTFRmPUvLb4y+XJ3+IPwstgbL9VsLRKXr+C8tzDkGh8uf4M/rkSoN1X0tNBLUhaqSBnajaI4CciIiJNi0+KwMBA2NgwQYuISBeCAx9g8K/tccL9SXdK38RG6NNvNi+IDlt7Np2+r5aoSBnCLrrUK4qRzcrDztqC18ZQur1effVVLF++XLsteT/SzDp58mQ0btw4p8tHREQv8MD3HDqvfFcb+FjGA+OdOqJPNwY+uvI4PAZ9V5xQS1SkBD5eTjZY0q02vnm/EgMfQ2v5kSDnzTffxLFjx9RSF8OHD8f58+dVy8+BAwdyp5RERJShY4f/wJDT4xHikrwUQhQwpfxINGjUkWdMR3Ze8MPIDWfwKDxWu0+Wpvjm/YpwtWf3o0EGP5UqVcKVK1cwe/ZsODk5ITw8HK1bt0a/fv3UKu9ERJQ3/vxzKr4JWIbY5EyEAqEW+LnJXJQsX4+XQEcTFn7zvwtYd/yudp+bvRW+a1UZLarw+9Hg5/lxcXHBqFGjcr40RET0QpJqMHdpP8yz2A8kTwlTMcgBszushod3MZ5BHThw7RGG/X4a90OitfualPfCD60rw8vJltfEWCY5JCKivBcbE4nRv7THXy63tPtef+SNSZ9tgL2DMy9JHouIicekbZew/NCTEXaONpYY+24FfFizECf/1VMMfoiIDGhE1+fL2uKke6h23ycxtfHRR9/C1s5Rp2UzRQevP1JD2O8EPlmeol6JfJjyYRUUcuO8PfqMwQ8RkQG4dfU4+v7VE3fc47Qjuka5foTWnUdyVuA8Fh4Tj4l/XcRvh321+2ytzDHinXLoUq8YzJMnlyT9xeCHiEjPHdy3CsMuTEBoqhFd0yqOQr1XP1L5P5S3uT3D151JsxhpneLumNymCop5OPBSGGvwc/PmTcTHx6sZnVOTNb5k2YtixZhsR0SUk2t0TYnchAS7pO0CoZb4ucnPHNGVx8Ki4zDhr0tYeeRJa4+dlQVGNCuHzq8UZWuPsU9y+Mknn+DgwYNP7T9y5Ih6jIiIXl58XCzGz2mn1uhKSJ4IuHqgM1Z/tImBTx7bdyUATX/clybweaWEO7YPeg1d67ObyyRafk6ePIkGDRo8tf+VV15B//79c6pcREQmndg8aFk7HHcP1u5rFSZrdK2AlTWHTeeVkKg4TNh6EauP3tHus7e2wMjm5dGpThG29phS8CPLWYSFhT21PyQkBAkJCTlVLiIik3T94iH0/7sv7ronLYlgkQAMtmmBrv0n6rpoJmXbuYcY++c5+IfFaPc1KJUPE1tX4Qrsphj8vPbaa5gwYQJWrVoFC4uktlgJemRfw4YNc6OMREQm4Z9dSzDi2nSEJ0/X4xgNTCo9DK+90UXXRTMZ/qHRGPvneWw7/1C7z8HaAqNaVECHOoU5b4+pBj+TJk1SAVDZsmXVIqfi33//RWhoKHbv3p0bZSQiMnqLfh2Kn+K3I9E2aZh04RArzH5nHkqUqaPropnMCuxrj93B91suplmB/Y1yXviuVSUUcE3OOCfTDH4qVKiAM2fOqLW9Tp8+DTs7O3Tp0kXl+7i7u+dOKYmIjFRsVATGLeyIzc43gOT5YWoHuuHHT36Hi5u3rotnEm49isDIDWdx6MZj7b58DtYY915FvFslP1t7jFC25vkpUKAAfvjhh5wvDRGRCfG7dwWf/94FF9witPvaRVTEyP7LYWnF1b9zW3xCIhbuv4kfd15BTPyT+ZJa1yiIMS0qwM2B18Ckgx9p6ZHV3M3NzdX956lSpUpOlY2IyGgdO/QHhp78GoFuidoZm4c5foCOXb/RddFMwrl7IWppivP3nywVUtDVTi1E2qiMp07LRnoS/FSrVg0PHz6El5eXui8jvqR/ND3ZzxFfRETPt2L1GEyN2Ij45AmB3SPMMa3616hV7wOeujxYmmL6jitYevAmEpO/xszMgG71i2Po22XgYMOFD0yBZWZndfb09NTeJyKi7K3IPn5+J2xyvqb961shyAEz2y6DT6GyPKW5bPv5h/h603k8CInW7ivr7YSJbSqjehE3nn8Tkqngp2jRotr7t2/fRv369WFpmfapsuSFzPyc+lgiInqS3zPw9y44nyq/592wkvi69wpY23FNqNx0PzgK4zadx84Lftp9NpbmGNikNHo0LAFryywvdkAGLsvte40bN8aDBw9UF1j6SQ7lMXZ7ERG9OL/nC4f30Knr9zxVuZzQvPTgLUzfeQWRsU8m4X2tjCe+e78SiuSz5/k3UVkOfiTXR3J70nv8+DEcHPivFyKi9Pk90yI2Ik6b32OGqdXGoXb9NjxRuej0nWA1fP3CgycJzZ5ONhjbsgJacvi6yct08NO6dWv1UwIfWcDUxsZG+5i09sgoMOkOIyIiIDoqHOPV/D03tf/MLB9kj5/aLmd+Ty6vxzV9x2UsP3wbKeNy5N/rneoWwbCm5eBiZ8WPJ2V+VXcXFxd1k5YfJycn7bbcfHx80KtXL/z222/ZOqVz5sxBsWLFYGtri7p16+K///7L1PNWr16tgrFWrVrxUhKR3rh19Tg6zG+cFPgkaxlaAr/13s3AJ5fId9P643fx5rS9WHboSeBTzscJ6/vUx3etKjPwoay3/CxZskT9lCDliy++yLEurjVr1mDIkCGYN2+eCnxmzJiBpk2b4vLly0/lFaV269YtVY6UJTaIiPTBzu3zMPbWHIS7Jm1bxQNDHVqh04BvdV00o3XpYSjGbDyHo7eCtPvsrCxUQnP3hsVhZcGEZkory5+I4cOHp8n5kdFfErDs2LED2TF9+nT07NkT3bp1U0tnSBBkb2+PxYsXP/M50s3WqVMnjB8/HiVKlMjW+xIR5aT4uFhM+aUrhj6YjXDbpH3eYRZYUnUyOn3EwCc3hEXH4dvNF9Dip/1pAp9mlXzw99BG+KxRSQY+lDPBz/vvv4/ly5er+8HBwahTpw6mTZum9s+dOzdLrxUbG4vjx4+jSZMmTwpkbq62Dx069MznffPNN6pVqHv37lktPhFRjgt4eBPdZ7+B5bYnoEn+x+ErQfnw+0dbULVWM57xXOji+vPUPbw57R8s2n8TCcmzFRbLZ4+l3Wpj7sc11WzNRDk22uvEiRP48ccf1f1169apfJ+TJ09i/fr1GDt2LPr06ZPp13r06JFqxfH2Trt4n2xfunQpw+fs378fixYtwqlTpzL1HjExMeqWQlafF4mJieqWk1JeL6dfV5+YQh1NpZ6sY844emgDRpz6Fo/ckz4rZoka9EhsgD79ZsHCwjLXP0OmcB1T1+/yw1B8s/kiDt0ITDNnT7/XS6Lnq8VhY2VhsOfCFK5lYi7WMSuvmeXgJzIyUiU8C+nqklFg0lrzyiuvqC6w3BQWFobOnTtjwYIF8PDwyNRzJkyYoLrH0vP390dUVFQulBIICAiAsTOFOppKPVnH7P+h3bj1Byyw2IcEx6R9LpFm+DJ/L9Sq2xaPHj1ZITwvGPt1DI9JwOIjD7D2tD8SUn3HvVrCBYNeK4QCLjYIDnwEY2Ds1zK36igxQq4FP6VKlcLGjRvxwQcfYPv27Rg8eLA2mHB2ds7Sa0kAY2FhAT+/J7NuCtmWFqX0rl+/rhKd33333aciPZlxWpKkS5YsmeY5I0eOVAnVqVt+ChcurLrNslreF5GyyAWVpUAkIDRGplBHU6kn65h9YcH+GL38E+x1e6jdJ8PYf2y1CPmLVEBeMvbrmJiowboTdzFl+xU8jojV7i/kZodx71bAm+WePTDG0Bj7tcztOtrZ2eVe8CNdWx07dlRBz5tvvol69eppW4GqV6+epdeytrZGzZo1sWvXLu1wdTkxst2/f/+nji9XrhzOnj2bZt/o0aNVtDdz5kwV1KQn8xGlnpMohZz03Ppw5eZr6wtTqKOp1JN1zJrTR7dg2JFReOD2ZMbgtuHlMbLPUljb6G7GYGO8jid8gzB+03mcvhuSpourd6OS6Pt6SdhaWcAYGeO1zIs6ZuX1shz8tG3bFg0bNlRLXFStWlW7XwIhaQ3KKmmV6dq1K2rVqqWSp2XkWEREhBr9Jbp06YKCBQuq7iuZB6hSpUppnu/qmjSeNP1+IqKcJP8wW7JiGGbH7kB8Us8/7GOAr7w64/2uw3myc5B/aDQmbbuM9SfuptnfuJQrxn9QFUXyJfczEmVTloMfIV1S6bulJHDJjvbt26smMGlRevjwIapVq4Zt27Zpk6B9fX2NPgImIv0W9OgevvqtC/a7+Wv/apYKtsW0ZnNQokz2/vbR02LjE7HkwE38tOsqIlKtxVXG21EtS1HSMR7eblyPi3QU/Bw7dgxr165VgYkMV09tw4YNWX496eLKqJtL7N2797nPXbp0aZbfj4gos44f3ogvj30Nv1TdXK3Dy2Jkr6WwtWMLRE4NXd99yR/fb7mIG4+erHrvbGuJoW+XVUtTmJsl5YMS6ST4kSUlpCtKZmGWPJ+3334bV65cUR/K7HR7ERHpazfXgl8HYW7CHiQkd3M5RANjCnZHi66DdF08o3HxQagKevZfezJSS6ZK6lCnCL54uyzcHayNfvg3GUDw88MPP6h5fvr166eGvEuicfHixdG7d2/kz58/d0pJRJSHAv198eXKLjjs9hhIzqktG2SHaS3noWipGrwWOSAgLAbTd17GmqN3kDxHoVK7mBvGvVsRlQq68DyT/gQ/Mty8RYsW2tFakpwsy13I6K833ngjwzl1iIgMxYG9v2H0+Sl45PakpaF9ZCUM77NIp6O5jEV0XAIWH7iJn/dcR3hMfJqh6yOblUfzyj5pllAi0ovgx83NTTuRkIzCOnfuHCpXrqyWupAJEImIDFFsTCSmL+mFlTanoHFM+vJ1igK+LtoHbzfrq+viGUVez+YzDzDxr0u4F/xkgllHG0v0f6MUPqlfzGiHrpMRBD+vvfYadu7cqQKeDz/8EAMHDsTu3bvVPhnuTkRkaK5fPoLhfw3AFTf5Uk4KfCoFOWJKq/koVKyyrotn8E76BuG7LRdx/PaTxUclgfmjOkUw5K0y8HB8ei42Ir0KfmbPno3o6Gh1f9SoUbCyssLBgwfRpk0bNeEgEZGhkCTatevGY1rIBkS7Je2zSAC6JdZDv36zYWmVlGxL2XPrUQSmbL+MLWcfpNn/amkPjGpRHuV8cnaWfaJcC37c3d2192X+nREjRmT1JYiI9GLunjG/fYJ/ZImK5BjHJ8wCE2qOQ616HLn6Mh6Hx2DW7mv47fBtxKfKZi7p6YDRLSrg9bKezOsh/Q9+UlZCz4ycXi+LiCinHdy3CqPPTkRAqqTmt4IL4+suS+HsZjxrReW1qNikZOa5e9MmM3s4WmPgm6VVN5eVBSetJQMJfmQJiRdl30symxyTkPBkIjAiIn0SFxuNGUs/w69Wx7RJzbJExZceHdG660hdF89gJSRqsP74XUzbeRl+oTHa/XZWFuj5Wgn0eq2ESmwm0heZ+jTu2bMn90tCRJSLLp/7F1/9PQRX3CRnMSnwqRDkgMktf+bcPdkk/+jdc9lfjeC64heeJpm5fe0iGNykNLycbXPmAhLldfDTqFGjnHxPIqI8k5AQj0W/DsHc+F2IS05qNk/U4JP4uhjQby6TmrPp6K1ATN52CUdvPRnBJZqU98aIZmVRyit5WmwiPZStdsh///0Xv/zyC27cuIHff/9dzffz66+/qpmeZcV3IiJ9cOfmGXz1Zx+cyReu/WtXINQS39Ucjdr12+i6eAbpwv1QTN1xWa3FlVrVwq74qlk51C2RT2dlI8q14Gf9+vXo3LkzOnXqhBMnTiAmJql/NyQkRC19sXXr1qy+JBFRjg9h/339N5getB6Rqb6LW4WVxohPFsHBKbkJiLI0bH36zivYdPp+mv0lPBzU4qOcmZmMOvj57rvvMG/ePLW4qSxymqJBgwbqMSIiXfJ/cANj1/TAAbcAIHnuvHwR5hhX5nM0btKdFyeL/EKj8dOuq2oNrtTD1vO72GJQk9JoU6MQLDmCi4w9+Ll8+bKa5Tk9FxcXtcQFEZGubN0yEz/4LkKI25Mv6dcfeWN8lyVw9yzMC5MFwZGxmPvPdSw7eAvRcU+mBHCzt0K/xqXw8StFuRwFmU7w4+Pjg2vXrqFYsWJp9u/fvx8lSpTIybIREWVKUMAdfLuyN3a63gGS1x6Vdbm+9OmMOm93hms+b57JTAqJisOi/TexeP/NNHP1OFhboMerJdDj1eJwsrXi+STTCn569uyp1vNavHixmtfn/v37OHToEL744guMGTMmd0pJRPQMf235CRNuL0SQ65PWnrqB7vjuw/nwKlAafn5+PHeZEBYdh6UHbmHBvzcQGv0k6LG2NEfnV4qi7+slkY9rcJGpBj+ynIUkE8oiprKKu3SB2djYqOBnwIABuVNKIqJ0Hvndwjere2OP633AAdoJCwc4vYuOA79Ty+/I3yp6voiYeCw7dAvz991AcGScdr+luRna1S6M/o1LoYCrHU8jmXbwI609sqDpsGHDVPdXeHg4KlSoAEdHx9wpIRFROpv+nIop95cjOFVrT61AV3zTajYKF6/K85XJpShWHLmtlqJ4HBGr3W9hboY2NQpiwBulUdg9uQ+RyMhke75xa2trFfQQEeXlSK7xa3phn5ufNrfHIRoY6Noa7QeOU6099HzRcQlY9Z8vft57HQFhMWlmZW5VrSAGvFkaxT2Sm9KIjBQXWyEivSfdVxs3TsI0/1UITTWS65WgfBj/wc8oUJT/EHuRyNh4rDjsi1/23cCj8CdBjyzb2KJyfjVsnbMyk6lg8ENEeu3e7fMY/0c/HHJ7DCSnnjhGA0PytUebzl+xtecFZMTW8kO3sPDfmwhM1b0l3qnog0FvlUY5H+dcu35E+ojBDxHp7ZpcS1d+iV+idyAq1YTMDYI8Mf7DefAuWEaXxdN7odFxWHbgFhYduJkmkVlaeppV8kH/xqVRoQCDHjJNDH6ISO+cO/U3xu/9CpfcogDrpH3OUWYY5tMJrbp+qevi6f3khIsP3MKSAzcRlmrIugQ971YpgP5vlEIZby46SqaNwQ8R6Y3I8GDM/K0/1lifRkKq1p53Qopg5Edz4e5VRJfF02v+odFYcvA2VhzxTTM5oYzeer9aATUrc0lPjsolEgx+iEgv/LNrCb6/OBMPnBK0+2QF9lEVB+O1rl10WjZ95hsYiZm7fbHlYiBi4xPTzNPTukZB9H29FIpx9BZRGgx+iEjnkxX+sLpv0tIUyb0xFglAx7jqGNB9NuzsmZeSkUsPQ9UcPZvPPEBCqgVHrS3M0bZWIfRpVJLz9BA9A4MfItJZQvPadd9idtAfCE01WWH5IHuMf2MiyldpzCuTgeO3gzB37zX8fdE/zX5Ze6vTK0XRvWFxeDvb8twRPQeDHyLKc2eOb8N3/47DRbdI7fB1WZqij0MzdB7wAyws+KcpNY1Gg71XAjBv73UcuRmY5jFZZb1tFQ/0fasi3Bxs8vIyEhks/oUhojwTHPgA01f1x0b7y9C4mWn3vxrkhdGtZ6NAkfK8GqlIDs+fp+6pxUav+IWnOTf5XWzR89USaFerIMKCHsPFjiutE2UWgx8iypMZmtdv+B4/BfyOYEfp4jLTJjQPL9sXb3btyauQSkhUHFYe8cXSgzfhF/pkNmZRwtMBnzUqqZaikBXX5dyG8ewRZQmDHyLKVRdO78K3e0bjnFu4dj0u6zigM17BZz1+hK0dh1+nuBcchcX7b2L1f76IiH0y6k3ULOqGXq+VQJPy3mr4OhFlH4MfIsoVoUH+mLFqADbYXkgzZ0+9oHwY1XI6ipaqwTOf7Ny9ENW1lX7klkxM+HYFbxX01CzqzvNFlEMY/BBRjo/iWrPuG8wN3Ihghydf5D5hFhhWshfe7tqXZ1zOU6IGOy/4YfGBm/gvXRKzjaU52tYshB6vluAK60S5gMEPEeWYw/+uxaQTU3DNNVrbxWUVD3RMqIV+n87knD3Ja26tPXoHyw7dwp3AqKdGbnWpVwxd6hVFPkeO3CLKLQx+iOil3bl5GpP//AJ73R4Crmm7uL5sNgkly9Y1+bN861EElh68hd+P3Xkqn6ekpwO6NSiONjUKwc7awuTPFVFuY/BDRNkWERaEuauGYJX5McSmyuspGmKFLyr2x+tdP4Wpz89z6PpjtdDorkt+0DzpBVQalfHEpw2L49VSHjBnEjNRnmHwQ0RZJsOrN/wxAXMersUjxyfrSTlFAT0dm+Ljz76DlbXpzjIsC4v+ceIulh+6jav+aefnsbUyVy083RoUQykvrq5OZLLBz5w5czBlyhQ8fPgQVatWxaxZs1CnTp0Mj12wYAGWL1+Oc+fOqe2aNWvihx9+eObxRJSzjuxfi2nHpiXNzuz4ZC2u96LKYHC7GXDzLGyyp/yafzh+PXQL60/cS7OyuvBxtkXX+sXQoU5huNpb66yMRKQHwc+aNWswZMgQzJs3D3Xr1sWMGTPQtGlTXL58GV5eXk8dv3fvXnTo0AH169eHra0tJk2ahLfffhvnz59HwYIFdVIHIlNw7cJBTN0xGgfcAoBUXVw1A10xosm3KFf5dZii+IRE7Lrkj+WHbuHAtcdPPV6rqBu61C+GZpV8YGVhrpMyEpGeBT/Tp09Hz5490a1bN7UtQdCWLVuwePFijBgx4qnjV6xYkWZ74cKFWL9+PXbt2oUuXbrkWbmJTIX//WuYuX4YtjhcSzNfT8FQSwwp1dNkh64/Co/BmqN31EzMMjlh+q6tD6oXROdXiqFCAa5KT6RvdBr8xMbG4vjx4xg5cqR2n7m5OZo0aYJDhw5l6jUiIyMRFxcHd3dOAEaU08nMC9YMw0rNEUSl+v52jTRDd+d30Kn3NyaX15OSwLziP1/sOP8QcQlpM5iL5rNH51eK4sOaheFiz7W2iPSVToOfR48eISEhAd7e3mn2y/alS5cy9RpffvklChQooAKmjMTExKhbitDQUG3CptxyUsrr5fTr6hNTqKOp1PNZdYyPi8WaDd9gYdBmBKaapNAmFvgosSZ6fTQJji6eGT7XWK9jYEQs1p+4i1X/3cGtx5FpHpNZmF8v46mCntdKPxm1lVfnxhQ+q6ZST9bx5WTls6Hzbq+XMXHiRKxevVrlAUn+T0YmTJiA8ePHP7Xf398fUVFpm6pzSkBAAIydKdTRVOqZUkf5w7F/3xIs998AX9c4wCHpcfNEDd4KLoIur4+Ep08pREQnIiLaD8Z+HaWV5+S9cGw8+wh7rwc/1crjZmeJFhXy4f1KHijkKhMSJiIgwB+6YgqfVVOpJ+uYPWFhYYYR/Hh4eMDCwgJ+fmn/kMq2j4/Pc587depUFfz8/fffqFKlyjOPky41SahO3fJTuHBhlUzt7JyzffHy5SEfWk9PT9V9Z4xMoY6mUs+UOubLlw//7l2Gny/MxxW36DSTFL4SmA+D3xiHcpUbwVSu4+PwGGw8dR+rj97B9YCIpx6vV8IdHeoUwVsVvGBjqfsJCU3hs2oq9WQdX46dnZ1hBD/W1tZqqLokK7dq1Up78WW7f//+z3ze5MmT8f3332P79u2oVavWc9/DxsZG3dKTX57c+gXKzdfWF6ZQR1Oo5+nj/8Oya0uSVlxPlcxcJsgOQ6oPQoOuHWEK11HW2dp3NUAtO/H3Rb+nW3nsrdRaWxL0lPDUz1Xojf2zakr1ZB2zJyufC513e0mrTNeuXVUQI3P1yFD3iIgI7egvGcElQ9il+0rI0PaxY8di5cqVKFasmJobSDg6OqobEb3Yyf8246cDk3DMPThN0FMs2Bp9SnXBO50HGP0XjPB9HIm1x+5g3fG7eBga/dTjdYq7o1PdImha0Qe2Vrpv5SGinKHz4Kd9+/aqKVMCGglkqlWrhm3btmmToH19fdP8EZ47d64aJda2bds0rzNu3Dh8/fXXeV5+IkNy8cwezNz9bdJcPakGSBYItUSvgh+i1cfDYWGh8z8LuSo6LgF/nXughqkfvpF2NXXh4WitZmD+sFZhlPLiP6iIjJFe/JWTLq5ndXNJMnNqt27dyqNSERmPS2f34ufdE7DX5R40bkmjkYRHuDm6u7dE+95jjHrYuiQvH70ViA0n7mLzmQcIi047+7KFuRkal/VEu1qF0bicFycjJDJyehH8EFHuOHfqb8zbOxH7XB9C4ypBj5l2rp6uDk3QpHlfFClawmi7uHwDI/Hb4QfYcfUifAOfHt1Z3MNBBTxtahSEl7PxBn9ElBaDHyIjdPrYX5i7f0qqpSjMtAuPdrRugG4fT4Cdg8tTIy2NQWh0HLaeeYANJ+7hv1tPd2vZW1ugWaX8aF+7MGoXc4OZTNRDRCaFwQ+RETl++E/MO/wjDrs9TpPI7BJphg42DdG1w3iDmaAwK+ISEvHv1QD8cfK+mnk5Jj5t3SS+aVDSA61rFMQ7lXxgb80/fUSmjH8BiIzAfwfWYe7RmTjmlnb0lluEGTo5vI6PPx4PB6dUDxiBxEQNjt0Owp+n7mHr2QcIiox76phSng54u4wLOjUsg4JuybM2EpHJY/BDZKCk5ebv7fOw5PJynHOLSBP05IswR2enN9Hxk69hZ+9sVInLlx6G4c9T9/G/0/efWlA0ZU6e96sVVK08FfM7qdncvV0yP/kZERk/Bj9EBiY2JhJ/bJqMXx9swm2XuDRBj2e4Obq6NkP7bqNha+doVPPx/O/MfdXKc8Uv/KnHZRX1tyr44L2qBdCojCesLc2NrmuPiHIOgx8iAxEeEoAVG7/F6vB/8MgxEXB58lihUEt87NkSH340EtY29jAGdwIjVXfWlrMPcOZuyFOPy/B0WUhUWnnequANBxv+OSOizOFfCyI953//Gpb8bzw24hTCZTR2qgad8kH2+KR0RzT9uJ9RTE54Nyg54DnzAKczCHhEraJueL9aATSvnB/5HJ9euoaI6EUM/68lkRHP0bN830z87XALcemmoKkb6I7utfqg3qsfwdBJ3s5fZx+oyQdP3QnO8JiKBZzRokp+vFulAAq7G0fLFhHpDoMfIj2SkBCPndvn4rcrq3DaLSxN15ZFAvBGWGH0eH0oKlR9E4bsekA4tp17qIalP6uFp0L+pICnReX8KObBkVpElHMY/BDpgdAgf6ze9APWhe3FA6eENEnM9jFA87jy6N5iDAoVqwxDHaV1/n6oCni2n3+Iq/5PJy2Lcj5OaFklv+rS0tfV04nI8DH4IdKhG1f+w7Kdk/GX9WVEWcsUzE8eyx9mgQ+dG6P9hyPh7OYFQ5OQqMHx20HagCejYekpLTwy8aC08pRkwENEeYDBD1Eei4+Lxe6/F2LNpdU46hYIjWPa5RWqBTmjU5mP8NbHfQwuiTk8Jh7/XgnA3xf9seeyPwIjYp86RmZbrlnETQU8b1fwQZF8zOEhorxlWH9ZiQzYw7uXsXrbVGyK+Q8BMlTdXfYmBT5W8UCTiGLo8tpAVKrWBIbkfnAUdl30w86L/jh8/TFiE56eW8fS3Az1SuZTAY8MS/dy4iKiRKQ7DH6IcpFMsrd/769Yc+ZXHHD2Q4KVRDppZ2L+wLouOrYcCU+f4gazrMTZeyEq4JEWngsPQjM8zsHaAq+W9kTTSt54o6w3XOxTVZyISIcY/BDlgkB/X6zdOgV/hO3Hfef4NAnMZhoNaga54cMybfFWh96wstb/VpCgiFjsuxqAfy4H4J8rAXicQXeWKOBiizfLe6NJBW+8UsIdNpYWeV5WIqIXYfBDlIO5PHt3L8XGi2tx0MkPcfLb5Zx2ZfXmqIwOTQajeOlaet+6c+5+CPZeDsDey/5q/p1ETcbHVinkgiblvfFmeS+VvGwmST1ERHqMwQ/RS7p+8RDW/jMH2xPP4rFDYppWHlE5yBFti7yHlu0+h7Wd/s5XExAWgwPXHqkWnn1XAvAoPPaZ3VkNSnng9bJeKuDxdtb/lisiotQY/BBlc16e/22fif893IXzsqJ6ukXDnaPM0CShDDo2+hxlK72ml+c4Oi4BR26H4vyJIPx79ZFaLf1ZSns5onE5L7xexhO1irlrFw4lIjJEDH6IstCttX/fb9h0bh322d9BjMzLk6qVxzxRg1rB7mhV8n00bfeZ3rXySFeWJCfvv/YI/14NwNFbQYiNz3jVc3trC9Qv6YHG5TzVKumF3DgcnYiMB4MfoheM1jpx5E/878QK7Da/gmB7DeCa9phCIVZo6VgXbd4eBJ9CZfVqVuVr/uE4dOMxDl1/jMM3HiMoMi7DYyVNp3JBFzQs5YGGpT1Qs6gbk5WJyGgx+CHKwOVz+7Dun3nYZ3YJD2W5iXQrLciSE41jiqNNza6o+coHMDc314tg5/bjSBXsHLyeFPA8Co955vEFXG1Rq6AD3qpcGA1Le8LNQZqyiIiMH4MfomS+10/hf//Mx46w/3DDNSbNSC31yxIP1AnzQLNi7+DtJr1h75iuCUgHwc71gAgcvRWIozcDVdDzICT6mcc721qibol8eLW0h2rhKepuB39/f3h7e+tF8EZElFcY/JBJu3J+P7Yd/hV7wk/gmms0INPSuKadk6dKsDOa+TRG8xZ94eZRUKdrZV18EIojN5OCHQl6njXfTsqorDrF3VXujsyuXD6/MyzMzdJ06RERmSIGP2RS5Av//Kmd2HZsFf6JPoPbLnFJvwXpGnHKBNmikV0NtHlnIAoWraCTskbGxuP0nRCc8A3CfzcD1SKhsnbWs9hamaN2MXe8UiIf6pfMp3J4LC3YokNElB6DHzJ6CQnxKml5++l12JdwEQ8kh8cGSbdUSgTboLFDNbzboDuKl60LPz8/1SWUV11YdwKjVKAjNwl0ZOi5tPY8i5OtpQp25CYtPBLscAg6EdGLMfghoxQS5Ie9/yzDP7f34j/ruwiRUVoZjNYuF2SHxi618U6DrihRpk6edQlFxMTj3L0QNXOyBDonfIOfm5wsvJxsULu4O+okBzxlfZzSdGMREVHmMPgho8rf2X10Df4NPo7zzmFISJe/I8wSNagc4ozG7q+gWaPuKFi0Yq6XS+bSufwwDKfvBuP0nWCcuRuCq/5hz1wuQpXTDCjr7YQaRd1Qo4gbahV1Q9F89lw6gogoBzD4IYMVHvoYhw6uxf7ru3A48RruOycA0hCSbnkJm1igekQ+vOZdD01f7wmv/CVyrUzxCYlqBNb5+yEqyJGWHZlY8FmTCabuwqpexA01i7ihRlFXVCvsCidbroJORJQbGPyQwYiLjcbJo5tx4MJf+C/iAi46hye17qSbg0d4h1mgHkqgUel30ODVj2Bnn27ceg4tD3HFLwzn74eqLqxz90Nx6UEoYl4Q6EhXVTkfJ1Qp5IqqhVzUhIIlPR1hzi4sIqI8weCH9Jbk3Vy7eBD/ntiAI49P4LT9Y0RKkrLMxZduPj5ZWqJCiBMaOlfDm7Xbo0zF13J07prH4TEqAVmGmstPCXiu+oUh/nl9V8mKezioIEcFO4VdUbGAM2ytJGojIiJdYPBDejUq6/ypv/Hf+R04GXgG56z9EeiQHFyk68oSPmEWqKkpgnqFG+K1Bh3g5ln4pcsQE5+gloS4eD8Ux288xN0wXxXsyIrnmSGBToUCzqhUwAWVCjqjSkFXuNiz+4qISJ8w+CGdiY4Kx8ljm3H0yh6cDLuAC/bBSS07zwh2nKKAGtHeqOtdGw1rtUHx0rWy/95xCbj5KAJX/cNxzS9M/ZQurFuPI587vDx111UpT0dULJgU6EhrjgQ9zNMhItJ/DH4oz7qw7tw4hZPnduLM/RO4EHsbV5wiECefQMuMgx3bWKBCuAvquFRGw8otUalGU1hYZO0jGxIVp4KcGwHhqkVHBTv+4bj9OOK5o61Sc7O3QjkfZ5TL74TyPs5qiLnc2HVFRGSYGPxQrnjkdwsnT23DmdtHcCHiOi7bBifNtSMckm/pOEeZoXK0B6q7VULtcm+hcvW3YGVtm6muKt/HkbihgpwI3HwUnhzwRDx3+Yf0ZIJASTyWZOSy3o7wtk1AvXKF4e1ixyHmRERGhMEPvXSLju/1kzh/+V9cfnAGVyJu4bplYNJK6CKDmZRTj8iqnOCDGl7VUadyc5Su0CDDJGWZ/VhacGTFct/A5NvjSNwOjFCzIt8PiYImk604ws7KAqW8HFHayxGlvOWnk7pf2N1eO2mg1EtmePZytmXgQ0RkZBj8UKaFhwTgwvl9OHlxH3wjb+NawkPcso94kqeTwSisFI7RQNlIV1SwL44qhWujetWm8C5YRhvcBEfG4cKDMNwNisL94Cjck1tQFO4GR6qgJyz62WtaPYu3s41KQC7u4YiSnvLTAWW8nVDQ1Y7DyomITBiDH3pqxNW9W+dw9fpR3Hh4ATdDb8I33h93rCMQ6JD45FPznGlzrOKBUmH2KG9VGJW9q6NUmcaw8agI//BYPAyJwuWQGPxzJBr3g/9TQY4EO5GxyS1FWeRqb4Ui7vbJQY4DSng6ooSHA4p5OMDRhh9vIiJ6Gr8dTFBkeDDu3DoL33vnce/RddwNvYsHMQG4YxaMew4xiE09Mtvp+a/lGmEJr7h8cLMoAgfb0rCyK4tYqyLwT4jDvtAYrDkdhehjQQD2Z6us0g1VwNUWRd0dVLeUBDqyzIP8lG0XOw4jJyIiAwx+5syZgylTpuDhw4eoWrUqZs2ahTp1niwymd7vv/+OMWPG4NatWyhdujQmTZqE5s2b52mZ9VVUZCge3rsCv4c34Bfoi4CQ+/CP8MODGH88RAge2kQjOCXxOIUs+JnBop+pWcTZwCrGHWbx3oiJKYiI6AKIj86PsER73HnqaL9Ml9fG0lx1QxV0s0v6mXy/QPJ9HxdbWFnk3GSFREREOg9+1qxZgyFDhmDevHmoW7cuZsyYgaZNm+Ly5cvw8vJ66viDBw+iQ4cOmDBhAlq2bImVK1eiVatWOHHiBCpVqgRjIkm3ocF+CHp8D4GP7yE41B/B4QEIjniM0OhghMSG4nF8KAI0EQi0iEawTRyibDJYWiETwY3QaMyhiXVHYqxn0i0m+WesJzQJGQzPegEnG0t4u9jCx9kW3s628HGxgY+LndpWNxdbeDhaM6GYiIjylJlGsk11SAKe2rVrY/bs2dov/MKFC2PAgAEYMWLEU8e3b98eERER2Lx5s3bfK6+8gmrVqqkA6kVCQ0Ph4uKCkJAQODvn3HpP56+cxc+7f0NMbAzMLc2RqElAoiYR8l+CJgGa5J8p23GIQyxiEW8m9+IQb550SzCLR4JFPBLN45FgGSdXCDkpMc4Jmjg3JKqbe9L92KRtTZzrC+NhKwszuNtZwsvFHl5ONvBwtIGn+mkNT6ekYMbDyUYFNw4GnHOTMtrL29s7R5fJ0Ceso3EwhetoKvVkHV9OVr7fdfrtFBsbi+PHj2PkyJHaffKhbtKkCQ4dOpThc2S/tBSlJi1FGzduzPD4mJgYdUt9clI+ZHLLKSeunsE+u62AHXRCk2gFTbwTEuOdoIl3VveTtpPua4MbTVKOjJlZUsuMs50VnF0s4Wxrpe7nc7CGm9zsreCufibdT9lnb2WOR48ewdPT84V/gHLy/Oa1lLIbch1ehHU0DqZwHU2lnqzjy8nKZ0OnwY98iSYkJKhIPjXZvnTpUobPkbygjI6X/RmR7rHx48c/td/f3x9RUVHIKdFR0S/9GtLthERraBKtVZCiSbCFJsEemgQ7mCXYwSIx6WalsYe13MwdYWfhCCdrDzjaOcPB1hJ2Vuawt7aAg5W5ms/G3jrpp5ONBZxsk3462ljA3spCO6fN88mHKQaIi0FkCBCZvDcgIACmwBTqyToaB1O4jqZST9Yxe8LCwjJ9rOH2S2SStCqlbimSlh/pVpN8opzs9nqtekNc3e2LhPgE2NnKZHnmsDCzhIW5hfppaWEBczMLWFlawczMAvY2jnC0c4K9nTOcHVzg6OACe3sHWFqYw9rCDJbm5mrGYVsrc9hYZjZQyX0SWcsvZmZafgyZKdSTdTQOpnAdTaWerOPLsbOzM4zgx8PDAxYWFqofNzXZ9vHxyfA5sj8rx9vY2KhbevLLk5O/QGVLlsXE4uOMvk86t86fvjKFerKOxsEUrqOp1JN1zJ6sfC50+gmytrZGzZo1sWvXrjSRr2zXq1cvw+fI/tTHi507dz7zeCIiIiK96vaSLqmuXbuiVq1aam4fGeouo7m6deumHu/SpQsKFiyocnfEwIED0ahRI0ybNg0tWrTA6tWrcezYMcyfP1/HNSEiIiJDoPPgR4auSz/u2LFjVdKyDFnftm2bNqnZ19c3TVNW/fr11dw+o0ePxldffaUmOZSRXsY2xw8REREZafAj+vfvr24Z2bt371P7PvzwQ3UjIiIiyirjzhojIiIiSofBDxEREZkUBj9ERERkUhj8EBERkUlh8ENEREQmhcEPERERmRQGP0RERGRSGPwQERGRSdGLSQ7zkkaj0a7untNkXbKwsDC1sqyxLrxnCnU0lXqyjsbBFK6jqdSTdXw5Kd/rKd/zz2NywY/88ojChQvruihERESUC9/zLi4uzz3GTJOZEMnIIuv79+/DyckJZmZmOR51SlB1584dODs7wxiZQh1NpZ6so3EwhetoKvVkHV+OhDMS+BQoUOCFrYMm1/IjJ6RQoUK5+h7yi2msv5ymVEdTqSfraBxM4TqaSj1Zx+x7UYtPCuPsOCUiIiJ6BgY/REREZFIY/OQgGxsbjBs3Tv00VqZQR1OpJ+toHEzhOppKPVnHvGNyCc9ERERk2tjyQ0RERCaFwQ8RERGZFAY/REREZFIY/BAREZFJYfCTRXPmzEGxYsVga2uLunXr4r///nvu8b///jvKlSunjq9cuTK2bt0KY6rjggUL8Oqrr8LNzU3dmjRp8sJzYqjXMsXq1avV7OCtWrWCsdUxODgY/fr1Q/78+dXIkzJlyuj9ZzardZwxYwbKli2r1oiSGYMHDx6M6Oho6Kt9+/bh3XffVbPWyudu48aNL3zO3r17UaNGDXUNS5UqhaVLl0KfZbWOGzZswFtvvQVPT081IWC9evWwfft26LPsXMcUBw4cgKWlJapVqwZ9ty8b9YyJicGoUaNQtGhR9ZmV3+fFixfnajkZ/GTBmjVrMGTIEDXc8sSJE6hatSqaNm0Kf3//DI8/ePAgOnTogO7du+PkyZPqy1Ju586dg7HUUf7ISh337NmDQ4cOqS+Tt99+G/fu3YM+y2o9U9y6dQtffPGFCvj0XVbrGBsbq75QpI7r1q3D5cuXVXBbsGBBGEsdV65ciREjRqjjL168iEWLFqnX+Oqrr6CvIiIiVL0kyMuMmzdvokWLFmjcuDFOnTqFQYMGoUePHnodHGS1jvIFK59VCcyPHz+u6ipfuPJ31ljqmPofJF26dMGbb74JQxCRjXq2a9cOu3btUr+P8ndn1apV6h8ouUqGulPm1KlTR9OvXz/tdkJCgqZAgQKaCRMmZHh8u3btNC1atEizr27duprevXsbTR3Ti4+P1zg5OWmWLVum0WfZqafUrX79+pqFCxdqunbtqnn//fc1xlTHuXPnakqUKKGJjY3VGIqs1lGOfeONN9LsGzJkiKZBgwYaQyB/sv/444/nHjN8+HBNxYoV0+xr3769pmnTphpjqWNGKlSooBk/frzG2Ooo12706NGacePGaapWraoxJMhEPf/66y+Ni4uL5vHjx5q8xJafTJJ/Fcu/MKRbJ/U6YbItLR4Zkf2pjxfyr9JnHW+IdUwvMjIScXFxcHd3h77Kbj2/+eYbeHl5qZY8fZedOm7atEl1H0i3l7e3NypVqoQffvgBCQkJMJY61q9fXz0npWvsxo0bqvWgefPmMBaG9ncnpxaslgUt9fnvTnYsWbJEfUalpdJYbdq0CbVq1cLkyZNVK7N0tUvrelRUVK6+r8ktbJpdjx49Ul8C8qWQmmxfunQpw+c8fPgww+Nlv7HUMb0vv/xS9fWm/+Nr6PXcv3+/apKVbgRDkJ06yh/Z3bt3o1OnTioguHbtGvr27auCWX3845udOnbs2FE9r2HDhmoF6Pj4eHz22Wd63e2VVc/6uyMrhssXiuQ6GZupU6ciPDxcdZ8Yi6tXr6ou2n///Vfl+xirGzduqL+vkrP3xx9/qN9P+bvz+PFjFfzlFrb8UI6ZOHGiSgaWD7B8kI2F/Iuyc+fOKv/Fw8MDxvyvZ2nZmj9/PmrWrIn27durJMR58+bBWEiOmrRm/fzzzypHSBJnt2zZgm+//VbXRaNskjyu8ePHY+3aterzawwkqJdAXeolLSHGLDExUSVGr1ixAnXq1FGtsNOnT8eyZctytfXHeMPJHCZfehYWFvDz80uzX7Z9fHwyfI7sz8rxhljH1P/ykuDn77//RpUqVaDPslrP69evqyRgSahM/Qsr5F9kkqBXsmRJGPq1lBFeVlZW6nkpypcvr1oSpIvJ2toahl7HMWPGqEBWEoCFjMCUBM1evXqpQE+6zQzds/7uyKgoY2v1kX9sybWUUbX63NqcnX9wHTt2TCVw9+/fX/s3R1or5W/Ojh078MYbb8AY5M+fX3V3ubi4pPm7I3W9e/cuSpcunSvva/i/6XlE/vDLv4YlIz2FfBhlW/IkMiL7Ux8vdu7c+czjDbGOQvpq5V/O27ZtU323+i6r9ZSpCs6ePau6vFJu7733nnY0jYxwM4Zr2aBBA9XVlRLYiStXrqg/TvoW+GS3jpKTlj7ASQn2jGWZQ0P7u5NdMiKoW7du6qeMbjMmEqim/5sj3bMyAkruy5QOxqJBgwa4f/++6rZM/XdHfk8LFSqUe2+cp+nVBm716tUaGxsbzdKlSzUXLlzQ9OrVS+Pq6qp5+PCherxz586aESNGaI8/cOCAxtLSUjN16lTNxYsXVba+lZWV5uzZsxpjqePEiRM11tbWmnXr1mkePHigvYWFhWn0WVbrmZ4hjPbKah19fX3VSL3+/ftrLl++rNm8ebPGy8tL891332mMpY7yOyh1XLVqlebGjRuaHTt2aEqWLKlGZuor+V06efKkusmf7OnTp6v7t2/fVo9L/aSeKaRe9vb2mmHDhqm/O3PmzNFYWFhotm3bpjGWOq5YsUL9bZW6pf67ExwcrDGWOqZnKKO9wrJYTzm+UKFCmrZt22rOnz+v+eeffzSlS5fW9OjRI1fLyeAni2bNmqUpUqSI+sKXYbaHDx/WPtaoUSP1pZja2rVrNWXKlFHHy/DTLVu2aIypjkWLFlUf8PQ3+UU1tmtpaMFPdup48OBBNR2DBBQy7P37779XQ/yNpY5xcXGar7/+WgU8tra2msKFC2v69u2rCQoK0uirPXv2ZPg7llIv+Sn1TP+catWqqXMi13HJkiUafZbVOsr95x1vLNfREIOfPdmopwTpTZo00djZ2alASKafiIyMzNVymsn/cq9diYiIiEi/MOeHiIiITAqDHyIiIjIpDH6IiIjIpDD4ISIiIpPC4IeIiIhMCoMfIiIiMikMfoiIiMikMPghIr31ySefoFWrVtAX+lYeIsoeBj9ERERkUhj8EBGlI6vYE5HxYvBDRDq1bt06VK5cGXZ2dsiXLx+aNGmCiIiINMdMnTpVrS4vj/fr1w9xcXHax2JiYvDFF1+gYMGCcHBwUCte7927V/v448eP0aFDB/W4vb29ei9ZCTy1119/Hf3798egQYPg4eGBpk2bZqrsR48ehaenJyZNmvTS54GI8o5lHr4XEVEaDx48UIHJ5MmT8cEHHyAsLAz//vuvLLisPWbPnj0q8JGf165dQ/v27VGtWjX07NlTPS5By4ULF7B69WoUKFAAf/zxB9555x2cPXsWpUuXRnR0NGrWrIkvv/wSzs7O2LJlCzp37oySJUuiTp062vdZtmwZ+vTpgwMHDmTqKu3evRutW7dWZe/VqxevLJEB4cKmRKQzJ06cUIHJrVu3ULRo0QwTjKUV5/r167CwsFD72rVrB3NzcxXs+Pr6okSJEuqnBD4ppPVIApsffvghw/dt2bIlypUrp1qUUlp+QkNDVXmeR8oTHByMrl27okuXLli4cKEKxojIsLDlh4h0pmrVqnjzzTdVV5R0Nb399tto27Yt3NzctMdUrFhRG/gIaQWSVh0hPxMSElCmTJk0rytdYdJFJuRxCYLWrl2Le/fuqXweeVy6wFKTICwzjhw5gs2bN6vuOo78IjJMDH6ISGckqNm5cycOHjyIHTt2YNasWRg1apQKMIoXL66OsbKySvMcMzMzJCYmqvvh4eHqNY4fP54mQBKOjo7q55QpUzBz5kzMmDFDBVmSFyS5PemTmmV/Zkh3mQRWixcvRosWLZ4qHxHpPyY8E5FOSTDToEEDjB8/HidPnoS1tbXK28mM6tWrq5Ydf39/lCpVKs3Nx8dHHSM5PO+//z4+/vhj1dIk3WRXrlzJdnklIVryfST/SLrgUidfE5FhYPBDRDojLTzSJXXs2DGVt7NhwwYEBASgfPnymXq+dHd16tRJ5d/Ic2/evIn//vsPEyZMUInNQpKeU1qXLl68iN69e8PPz++lyu3l5aUCoEuXLqmE7fj4+Jd6PSLKWwx+iEhnZPTVvn370Lx5cxXIjB49GtOmTUOzZs0y/RpLlixRwc/QoUNRtmxZlYcjQ9CLFCmiHpfXrFGjhsopksRmaRHKiVwdeR0JgCTvSAIwaYEiIsPA0V5ERERkUtjyQ0RERCaFwQ8RERGZFAY/REREZFIY/BAREZFJYfBDREREJoXBDxEREZkUBj9ERERkUhj8EBERkUlh8ENEREQmhcEPERERmRQGP0RERGRSGPwQERERTMn/AeDmUtCztRquAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shears = np.linspace(0.0, MAX_SHEAR, N_SHEAR)\n", "states = [shear(X, k) for k in shears]\n", "series = sweep_energies(states, MU, LAM)\n", "\n", "fig, ax = utils.line_plot(shears, series, xlabel=\"shear k\", ylabel=\"elastic energy density ψ\",\n", " title=\"Energy vs shear\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"shear.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_shear.png\"))\n", "plt.show()\n", "\n", "fig, anim = utils.animate_scene_energy(states, shears, series, rest=X, xlabel=\"shear k\",\n", " scene_title=\"triangle shearing\", title=\"energy vs shear\", fps=FPS)\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"shear.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"003_shear.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "04aba62b", "metadata": {}, "source": [ "## Rotation: linear elasticity is *not* rotation-invariant\n", "\n", "Now the surprise: spin the triangle through a full turn. **ARAP** and **Neo-Hookean** stay at zero (the green curve hides the blue one), rotation is free. **Linear elasticity** rises to $16$ at $\\theta = \\pi$ and falls back: its small-strain tensor $\\varepsilon$ mistakes rotation for stretch ($F = -I$ gives $\\varepsilon = -2I$). This is why linear elasticity is only valid for *tiny* deformations." ] }, { "cell_type": "code", "execution_count": 8, "id": "a47e4c7c", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:30.731226Z", "iopub.status.busy": "2026-09-24T03:44:30.731106Z", "iopub.status.idle": "2026-09-24T03:44:32.503500Z", "shell.execute_reply": "2026-09-24T03:44:32.502861Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angles = np.linspace(0, 2 * np.pi, N_ROTATION)\n", "states = [rotate(X, a) for a in angles]\n", "series = sweep_energies(states, MU, LAM)\n", "\n", "fig, ax = utils.line_plot(angles, series, xlabel=\"rotation angle (rad)\", ylabel=\"elastic energy density ψ\",\n", " title=\"Only linear elasticity penalizes rotation\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"rotation.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_rotation.png\"))\n", "plt.show()\n", "\n", "fig, anim = utils.animate_scene_energy(states, angles, series, rest=X, xlabel=\"rotation angle (rad)\",\n", " scene_title=\"triangle rotating\", title=\"energy vs rotation angle\", fps=FPS)\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"rotation.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"003_rotation.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "e04cfeb5", "metadata": {}, "source": [ "## Crushing the triangle flat: Neo-Hookean $\\to \\infty$\n", "\n", "Drive the apex straight down onto the base, so $F = \\mathrm{diag}(1, r)$ and the area ratio $J = r \\to 0$. The blow-up is only *logarithmic*, $\\psi \\approx \\tfrac{\\lambda}{2}(\\ln J)^2 - \\mu\\ln J$, so to see it we collapse hard, $r = 10^{-9t}$ (down to $J \\sim 10^{-9}$), with a nearly incompressible material ($\\lambda = 50$), and plot on a log axis. The rest shape ($t = 0$, $\\psi = 0$) is left off the plots, since a log axis cannot show zero. The cell prints $J$ and the Neo-Hookean energy at full collapse." ] }, { "cell_type": "code", "execution_count": 9, "id": "2b2c8bc3", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:32.505266Z", "iopub.status.busy": "2026-09-24T03:44:32.505148Z", "iopub.status.idle": "2026-09-24T03:44:34.945104Z", "shell.execute_reply": "2026-09-24T03:44:34.944679Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "det F at full collapse: 1.00e-09 Neo-Hookean energy: 10757\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y0 = X[2, 1] # rest apex height\n", "\n", "def collapse_apex(t):\n", " U = X.copy()\n", " U[2, 1] = y0 * 10.0**(-COLLAPSE_DECADES * t) # apex height shrinks log-uniformly\n", " return U\n", "\n", "ts = np.linspace(0, 1, N_COLLAPSE)\n", "states = [collapse_apex(t) for t in ts]\n", "series = sweep_energies(states, MU, LAM_STIFF)\n", "J_end = np.linalg.det(simkit.deformation_gradient(X, T, states[-1])[0])\n", "print(f\"det F at full collapse: {J_end:.2e} Neo-Hookean energy: {series['Neo-Hookean'][-1]:.0f}\")\n", "\n", "plotted = {name: psi[1:] for name, psi in series.items()} # drop the rest sample (psi = 0)\n", "fig, ax = utils.line_plot(ts[1:], plotted, xlabel=\"collapse parameter t\", ylabel=\"elastic energy density ψ\",\n", " logy=True, title=\"Neo-Hookean rockets to infinity as area -> 0\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"collapse.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_collapse.png\"))\n", "plt.show()\n", "\n", "fig, anim = utils.animate_scene_energy(states[1:], ts[1:], plotted, rest=X, xlabel=\"collapse parameter t\",\n", " scene_title=\"apex crushed onto the base\", title=\"energy vs collapse\",\n", " logy=True, fps=FPS)\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"collapse.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"003_collapse.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "78a396f9", "metadata": {}, "source": [ "Neo-Hookean reaches $\\sim 10^4$ and is still climbing toward $+\\infty$, while ARAP sits at a finite plateau (it has no area term) and linear elasticity stays modest." ] }, { "cell_type": "markdown", "id": "e3f9447c", "metadata": {}, "source": [ "## The whole picture: $\\psi$ over the principal stretches\n", "\n", "Scale and collapse both keep $F$ diagonal, $F = \\mathrm{diag}(s_1, s_2)$, so we can map each energy density over the $(s_1, s_2)$ plane (with $\\lambda = 1$, log colour scale). The dashed diagonal is the scale sweep, the dotted vertical line the collapse, and the star the rest shape, where every energy is zero." ] }, { "cell_type": "code", "execution_count": 10, "id": "7990919d", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:34.946406Z", "iopub.status.busy": "2026-09-24T03:44:34.946302Z", "iopub.status.idle": "2026-09-24T03:44:35.441902Z", "shell.execute_reply": "2026-09-24T03:44:35.441262Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stretches = np.linspace(STRETCH_MIN, STRETCH_MAX, N_STRETCH)\n", "S1, S2 = np.meshgrid(stretches, stretches)\n", "density = {name: np.array([[psi(np.diag([a, b]), MU, LAM) for a in stretches] for b in stretches])\n", " for name, psi in ENERGIES.items()}\n", "norm = LogNorm(vmin=1e-3, vmax=max(d.max() for d in density.values()))\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4.4), constrained_layout=True)\n", "for ax, (name, d) in zip(axes, density.items()):\n", " mappable = ax.pcolormesh(S1, S2, np.maximum(d, 1e-3), norm=norm, cmap=\"viridis\", shading=\"auto\")\n", " ax.contour(S1, S2, d, levels=[0.1, 0.5, 1, 2, 5, 10, 20], colors=\"w\", linewidths=0.6)\n", " ax.plot([SCALE_MIN, SCALE_MAX], [SCALE_MIN, SCALE_MAX], \"w--\", lw=1.5, label=\"scale sweep\")\n", " ax.plot([1, 1], [STRETCH_MIN, 1], \"w:\", lw=2.5, label=\"collapse\")\n", " ax.plot(1, 1, \"*\", color=\"orange\", ms=15, label=\"rest\")\n", " ax.set(title=name, xlabel=\"$s_1$\", ylabel=\"$s_2$\", aspect=\"equal\")\n", "axes[0].legend(loc=\"upper left\", fontsize=8)\n", "fig.colorbar(mappable, ax=axes, shrink=0.9, label=\"energy density ψ (white contours: 0.1 to 20)\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"stretch_landscape.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_stretch_landscape.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ed07e3d3", "metadata": {}, "source": [ "Linear elasticity is a smooth bowl that stays finite even as $s_1 s_2 \\to 0$, ARAP is a shallow bowl around $(1, 1)$, and Neo-Hookean climbs steeply along both axes, where $J = s_1 s_2 \\to 0$." ] }, { "cell_type": "markdown", "id": "e17f8e78", "metadata": {}, "source": [ "## From energy to forces: the triangle as a simkit system\n", "\n", "Later notebooks minimize energies with Newton's method, which needs the energy, gradient and Hessian with respect to the stacked vertex positions $x$. `triangle_system` builds all three from simkit: `simkit.deformation_jacobian` maps $x$ to $F$, the rest area is the quadrature weight, and simkit's material library supplies $\\psi$, so $E(x) = \\text{area}\\cdot\\psi(F)$." ] }, { "cell_type": "code", "execution_count": 11, "id": "48022439", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:35.443442Z", "iopub.status.busy": "2026-09-24T03:44:35.443332Z", "iopub.status.idle": "2026-09-24T03:44:35.447724Z", "shell.execute_reply": "2026-09-24T03:44:35.447209Z" } }, "outputs": [], "source": [ "MATERIALS = {\"Linear\": \"linear-elasticity\", \"ARAP\": \"arap\", \"Neo-Hookean\": \"neo-hookean\"} # simkit names\n", "\n", "def triangle_system(X, T, material, mu, lam):\n", " \"\"\"Elastic energy of the rest mesh (X, T) as a function of stacked positions x, built from simkit.\"\"\"\n", " n, dim = X.shape\n", " J = simkit.deformation_jacobian(X, T) # maps x to the stacked entries of F\n", " vol = simkit.volume(X, T) # rest area of each triangle\n", " mu_e = np.full((len(T), 1), mu) # per-element Lame parameters\n", " lam_e = np.full((len(T), 1), lam)\n", "\n", " def energy_func(x):\n", " E_elastic = simkit.energies.elastic_energy_x(x.reshape(n, dim), J, mu_e, lam_e, vol, material)\n", " E_total = E_elastic\n", " return E_total\n", "\n", " def gradient_func(x):\n", " g_elastic = simkit.energies.elastic_gradient_x(x.reshape(n, dim), J, mu_e, lam_e, vol, material)\n", " g_total = g_elastic\n", " return g_total\n", "\n", " def hessian_func(x):\n", " H_elastic = simkit.energies.elastic_hessian_x(x.reshape(n, dim), J, mu_e, lam_e, vol, material, psd=True)\n", " H_total = H_elastic\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func\n", "\n", "systems = {name: triangle_system(X, T, material, MU, LAM) for name, material in MATERIALS.items()}" ] }, { "cell_type": "markdown", "id": "38a58a05", "metadata": {}, "source": [ "A check before trusting it, on random non-inverted deformations of the triangle: area $\\times$ our one-line $\\psi$ should equal simkit's energy (plotted, one dot per sample), simkit's gradient should match central differences (`simkit.gradient_cfd`), and the Hessian at rest should have exactly three (numerically) zero eigenvalues, the rigid motions: two translations and one infinitesimal rotation." ] }, { "cell_type": "code", "execution_count": 12, "id": "47891150", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:35.449088Z", "iopub.status.busy": "2026-09-24T03:44:35.448980Z", "iopub.status.idle": "2026-09-24T03:44:35.635735Z", "shell.execute_reply": "2026-09-24T03:44:35.635232Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "194 non-inverted samples\n", "Linear max |E_ours - E_simkit| = 0.0e+00 FD gradient rel. error = 5.9e-11 zero Hessian eigenvalues at rest = 3\n", "ARAP max |E_ours - E_simkit| = 0.0e+00 FD gradient rel. error = 2.9e-10 zero Hessian eigenvalues at rest = 3\n", "Neo-Hookean max |E_ours - E_simkit| = 4.4e-16 FD gradient rel. error = 1.1e-10 zero Hessian eigenvalues at rest = 3\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.default_rng(SEED)\n", "area = simkit.volume(X, T)[0, 0]\n", "samples = [X + NOISE * rng.standard_normal(X.shape) for _ in range(N_RANDOM)]\n", "samples = [U for U in samples if np.linalg.det(simkit.deformation_gradient(X, T, U)[0]) > 0]\n", "x_test = samples[0].reshape(-1, 1)\n", "print(f\"{len(samples)} non-inverted samples\")\n", "\n", "fig, ax = plt.subplots(figsize=(5.5, 5))\n", "for name, (energy_func, gradient_func, hessian_func) in systems.items():\n", " E_ours = np.array([area * ENERGIES[name](simkit.deformation_gradient(X, T, U)[0], MU, LAM) for U in samples])\n", " E_simkit = np.array([energy_func(U.reshape(-1, 1)) for U in samples])\n", " g_fd = simkit.gradient_cfd(lambda y: np.array(energy_func(y)), x_test, FD_STEP)\n", " g_err = np.linalg.norm(g_fd - gradient_func(x_test).ravel()) / np.linalg.norm(g_fd)\n", " H_rest = hessian_func(X.reshape(-1, 1)).toarray()\n", " eigs = np.linalg.eigvalsh(H_rest)\n", " n_zero = np.sum(np.abs(eigs) < ZERO_EIG_TOL * eigs.max())\n", " print(f\"{name:12s} max |E_ours - E_simkit| = {np.abs(E_ours - E_simkit).max():.1e} \"\n", " f\"FD gradient rel. error = {g_err:.1e} zero Hessian eigenvalues at rest = {n_zero}\")\n", " ax.loglog(E_ours, E_simkit, \"o\", ms=4, alpha=0.5, color=utils.MAT_COLORS[name], label=name)\n", "lo, hi = ax.get_xlim()\n", "ax.plot([lo, hi], [lo, hi], \"k--\", lw=1, label=\"y = x\")\n", "ax.set(xlabel=\"area × our ψ\", ylabel=\"simkit energy_func(x)\", title=\"Hand-written energies match simkit\")\n", "ax.grid(True, color=\"0.9\")\n", "ax.legend(fontsize=9)\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"simkit_check.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_simkit_check.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c79d46f1", "metadata": {}, "source": [ "All three agree with simkit to round-off and lie on the diagonal, the gradients match finite differences to about $10^{-10}$, and every Hessian has the three rigid null modes. Note that linear elasticity passes this *infinitesimal* rotation test; it only fails for finite rotations." ] }, { "cell_type": "markdown", "id": "88058157", "metadata": {}, "source": [ "The negative gradient $-\\partial E/\\partial x$ is the elastic force on each vertex. Below, each row is a material and each column one motion; the triangle is coloured by its energy density $\\psi$ (`utils.plot_scalar_field`), the dashed outline is the rest shape, and the arrows (one shared scale) are the vertex forces, with the largest magnitude printed in each panel." ] }, { "cell_type": "code", "execution_count": 13, "id": "a3493347", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:35.637100Z", "iopub.status.busy": "2026-09-24T03:44:35.636996Z", "iopub.status.idle": "2026-09-24T03:44:36.465942Z", "shell.execute_reply": "2026-09-24T03:44:36.465535Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "motions = {f\"translate {SHOW_SHIFT}\": translate(X, [SHOW_SHIFT, 0.0]),\n", " f\"rotate {np.degrees(SHOW_ANGLE):.0f}°\": rotate(X, SHOW_ANGLE),\n", " f\"scale {SHOW_SCALE}\": scale(X, SHOW_SCALE),\n", " f\"shear {SHOW_SHEAR}\": shear(X, SHOW_SHEAR)}\n", "psi_show, force_show = {}, {}\n", "for name, (energy_func, gradient_func, hessian_func) in systems.items():\n", " for m, U in motions.items():\n", " psi_show[name, m] = ENERGIES[name](simkit.deformation_gradient(X, T, U)[0], MU, LAM)\n", " force_show[name, m] = -gradient_func(U.reshape(-1, 1)).reshape(-1, 2) # force = -dE/dx\n", "arrow_scale = max(np.linalg.norm(f, axis=1).max() for f in force_show.values()) / MAX_ARROW # force per unit length\n", "norm = PowerNorm(gamma=0.5, vmin=0.0, vmax=max(psi_show.values()))\n", "arrow_tips = [U + force_show[name, m] / arrow_scale for name in systems for m, U in motions.items()]\n", "lims = utils.auto_limits(list(motions.values()) + arrow_tips + [X], pad=0.15)\n", "rest_outline = np.vstack([X, X[:1]])\n", "\n", "fig, axes = plt.subplots(3, 4, figsize=(14, 9.5), constrained_layout=True)\n", "for row, name in zip(axes, systems):\n", " for ax, (m, U) in zip(row, motions.items()):\n", " mappable = utils.plot_scalar_field(ax, U, T, [psi_show[name, m]], norm=norm, cmap=\"YlOrRd\",\n", " colorbar=False, lims=lims, title=f\"{name}: {m}\")\n", " ax.plot(rest_outline[:, 0], rest_outline[:, 1], \"--\", color=\"0.55\", lw=1)\n", " f = force_show[name, m]\n", " ax.quiver(U[:, 0], U[:, 1], f[:, 0], f[:, 1], angles=\"xy\", scale_units=\"xy\", scale=arrow_scale,\n", " color=\"#08519c\", width=0.012)\n", " ax.text(0.03, 0.04, f\"max |force| = {np.linalg.norm(f, axis=1).max():.2f}\", transform=ax.transAxes)\n", "fig.colorbar(mappable, ax=axes, shrink=0.6, label=\"energy density ψ\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"forces.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"003_forces.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bc320b51", "metadata": {}, "source": [ "Translation costs nothing and produces no force for any material. Rotation is also force-free for ARAP and Neo-Hookean, but linear elasticity lights up ($\\psi = 4$) and pushes the rotated vertices with the largest spurious forces in the figure. Scale and shear are resisted by all three, with forces pushing the triangle back toward an undeformed shape; ARAP's are the weakest, since it has the $\\tfrac{\\mu}{2}$ factor and no area term." ] }, { "cell_type": "markdown", "id": "26768fe0", "metadata": {}, "source": [ "### Takeaways\n", "* Each energy is one line of math: linear (small strain), ARAP ($\\tfrac{\\mu}{2}$ distance to the nearest rotation), Neo-Hookean (with the $-\\mu\\ln J$ barrier), and each matches simkit's material library to round-off.\n", "* Good energies are zero, and exert no force, for rigid motions, and grow with scale and shear.\n", "* **Linear** breaks rotation invariance for finite rotations; **Neo-Hookean** diverges at collapse; **ARAP** stays finite.\n", "* Next: minimize an energy (plus constraints) with Newton's method, using `XXX_system` energy, gradient and Hessian functions like `triangle_system`, to actually *pose* a shape." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }